Can you identify a song for me? From a 1950's film musical.

Greetings theater and music fans!

I don't know the title of this film, or the name of the actress, but I'm pretty sure it was an American movie. The scene I recall is where the actress is singing about how she would "...Never Rock n Roll...". The setting was some kind of nightclub I believe.

The song is a jazzy number - NOT rock and roll. It might have been an episode from a TV show, but my gut feeling is it was a movie - most likely from the 1950's or early 1960's. The lyric was definitly something like "I won't Rock n Roll" or "Don't Ask Me To Rock n Roll", or "I'll Never Rock n Roll".

Any ideas?
Thank you.