If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

Are there lots of examples of where the first piece is a adjective (even a participle) or adverbs instead of a noun? It’s totally a typo, in effect, because it means hardened by battle (no doubt).

What do I do if the second part of a verb is a past participle and the first participle a noun? Air-cooled, belt-driven,

carbon-dated, feather-topped, hand-sewn, gas-powered, iron-plated, jet-propelled, knife-edged, love-begotten, market-tested, need-rooted, oil-tempered, punch-drunk, quarter-sawd, rain-proofed, store-boughten, tailor-made, vacuum-packed, wind-swept, yeast-bitten, and zero-padded. Similar products for example: air cooled, belt

Where are the verbs where they meant “verbed by/with/for (the/a) noun”.

There are many versions where the first part is a noun but the second part is a present participle in the words. These mean “verbing (the/a) noun”. Air-breathing, body-snatching,

class-leading, death-defying, deep-searching, earth-moving, fact-finding, gas-guzzling, hair-splitting, iron-binding, jaw-breaking, key-winding, king-killing, labour-saving, market-leading, night-flowering, orange-fuming, penny-pinching, rabble-rousing, sabre-rattling, thought-provoking

Is it just a different word for the same question?

If second halves are participle, are there any forked-tailed examples, but not here, and why? Words of similar meaning in other languages such as brokenhearted and cloven-hoofed?

Many examples work like big-hearted, deep-based, half-baked, etc. Because of the first word, the verb is no longer a noun. The verb is a modifier, either an adjective or an adverb.

Addendum

Appending the text of Janus’s insightful comment so that its text not be lost, and be searchable:

Words such as broken-hearted also have in common that the second member of the compound is a noun, rather than a verb, to which has simply been added an adjectival suffix -ed. Are past participles? You have (just about) consider to battle-harden or to wind-sweep a verb, but there is no such verb as to forked-tail or to broken-heart.

What are some challenges faced by someone like you?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?

If there was only one word the OED calls ‘of a word’. The OED said “Of a word, esp. 1′. , having or representing the property it denotes. (adjectives) So if heterological adj. be rejected > if. > if.. > > if.. – = – ‘== ”===============================… ‘ It gives three citations for this sense:

• 1926 F. P. Ramsey in Proc. London Maths. Soc.: What are the
  meanings of adjectives whose meanings are predicates of them?
• 1947 H. Reichenbach Elem. Symbolic Logic (1948) vi. 220 Let us comprise as autological all properties of names which have the property they denote.
• 1952 R.L. Wilder Introd. Found. Math. This is the second letter to be translated as ii. iii. iii. iii. I am learning about iii. Is the
  adjective ‘hetero’ either autological or heterological?

Descriptive examples such as a curt, pentasyllabic, and sesquipedalian should be taken into account as they are autological. Each of these double-dactyls by Roger L. Robison means: Long-short, long-short, and short-short. The poems in this double-dactyl are:

–

(Masculine

rhyme):

What are some suggestions to improve my writing skills?