Though the song's title is grammatically incorrect, the phrase my shadow and I somehow does not have the same ring to it. "Me And My Shadow" is described by The Tin Pan Alley Song Encyclopedia
as the "quintessential soft-shoe number, a masterpiece of restrained melody that practically dances all by itself". Author Thomas Hischak says it was written by Billy Rose, dates from 1927, and was associated with band leader Ted Lewis who sang it as he conducted his orchestra, and kept it in his repertoire for years. In the 1950s it was revived by Pearl Bailey, and appears in a number of films including the 1975 Funny Lady
where it is sung by James Caan as Rose himself.