old black and white sinatra

it was a old frank sinatra movie he was not the main chracter but he was a delivery guy , anyway a younger girl servant? had a crush on him and in their song he's trying to ride his bike away and she's holding it,then she junps on it.(she might have been trying to kiss him too)the song is her telling him he's her guy and he's denying it then at the end he tricks her and he says you're mine and he alludes to cheating and she's all no i don't want to share you! the movie was about a woman pretending to be a princess or the lady of the house when she was really the maid,for some prince or tvaveling digintary i think. ]Any help would be throughly appreciated!lol

The movie was Higher and Higher.(1943) (songs "It's a Most Important Affair", "Today I'm a Debutante", "I Couldn't Sleep a Wink Last Night", "The Music Stopped", "I Saw You First", "Lovely Way to Spend an Evening", "You're On Your Own" and "Minuet in Boogie") These songs can usually be found on Sinatra compilations