BABETTE (to Dean): There used be a great club there called – what was it called baby?
MOREY: Uh … Mr. Kelly’s.
BABETTE: Oh, yeah – Mr. Kelly’s. You ever go there?
Mister Kelly’s was a nightclub in Chicago, which began in 1953. From 1956 onward it became a place where many entertainers, especially jazz singers and comedians, began their careers, including Barbra Streisand, Lenny Bruce, Eartha Kitt, and George Carlin. The nightclub closed in 1975, so it isn’t possible for Dean to have ever gone there.
The Annotated Gilmore Girls 