As a fan of The Hustler, I have tried for some time to research White Tavern Whiskey. I have concluded that it does not exist. In Walter Tevis' book, "The Hustler," Minnesota Fasts asks for White Horse Whiskey not White Tavern Whiskey. In the book, Fast Eddie asks for JTS Brown as he does in the movie. I suspect there was a financial reason that the name White Horse whiskey was not used in the movie. Perhaps Gleason did not want to be associated with a particular brand or perhaps they did not get permission to use the name. Or maybe White Tavern just sounds better.