"
Me and My Shadow" is a
1927 popular song. Officially the credits show it as written by
Al Jolson,
Billy Rose, and
Dave Dreyer; in fact, Billy Rose was exclusively a lyricist, Dreyer a composer, and Al Jolson a performer who was often given credits so he could earn some more money, so the actual apportionment of the credits would be likely to be music by Dreyer, lyrics by Rose, and possibly some small contribution by Jolson.