The song that Wild Man Blues is named after has been attributed to the trumpeter nicknamed Satchmo and who else?
Wild Man Blues:  The film takes its name from a jazz composition sometimes attributed to Jelly Roll Morton and sometimes to Louis Armstrong and recorded by both (among others). Louis Armstrong: Louis Daniel Armstrong (August 4, 1901– July 6, 1971), nicknamed Satchmo, Satch or Pops, was an American trumpeter, composer, singer and occasional actor who was one of the most influential figures in jazz.
Jelly Roll Morton