Wow! What a great link. Jazz, Blues and Betty Boop.
I believe that "Barnacle Bill" was written by Carson Robison, a poplular cowboy singer, whistler, and songwriter of the '30's and '40's. The record I have of Robison doing the song, has him backed by an all-star band with the like s of Benny Goodman and Jack Teagarden. It's avalable on the Stash LP "Laughing in Rhythm, Jazz Humor".