"Small Fry" is an American popular song written in 1938 by Hoagy Carmichael and Frank Loesser. It was first sung and introduced by Bing Crosby, in the film Sing You Sinners (1938). In the film, Crosby sings it in a musical sequence with a young Donald O'Connor and Fred MacMurray. Crosby made a 1938 hit record of the song with Johnny Mercer dueting. He also recorded a solo version of the song for VDisc in the 1940s.
There was a Fleisher cartoon in 1939 that used the song "Small Fry" to portray a story behind the song as a warning to youngsters to not want to grow up too quickly. http://www.imdb.com/title/tt0031936/