What you are describing is a shortening of possessive, such as Sammy’s baseball. In this case, they are indicating a place of business, such as Sammy’s Italian Parlor”. They are further shortening it by neglecting to say the kind of business, so Sammy’s Pizza Parlor suddenly becomes Sammy’s.

Is this is crazy as it sounds? If there were two pizza parlors in the neighborhood, Billy’s Pizza Parlor and Sammy’s Pizza Parlor, when asked where you were going for lunch, you might just reply “I’m going to go to Billy’s.” What is the name of your restaurant?

How do name marketing campaign work?