Fred Astaire ‘s song “Not My Girl” was co-composed with Van Phillips and featured lyrics by Desmond Carter, who also wrote lyrics for George Gershwin’s Primrose in 1924.
The first recording of “Not My Girl” is from 1929 when Fred sang it with the Al Starita Band. And twenty years later on this YouTube video, Fred introduces his own piano playing on the first half of the song.
Fake-book Style Sheet Music PDF for Not My Girl: not-my-girl
And here is what that sheet music sounds like: