However, internet sources claim the tune was composed by Bolden himself. Or that it was composed by the trombone player in his band - Willie Cornish - or at least that Cornish put the words to it. If Bolden's Band composed it, the composer of St. Louis Tickle must have lifted it from them.
But he did not live in New Orleans, so would he even have heard it in those days before mass media? And why would a composer of his obvious talent need to steal an idea for a theme? And how do we account for his distinctively 'raggy' rhythms and notes in Bars 7 and 8 and Bars 14, 15, and 16? They are more subtle and complex than the simplified version used in the song.
Elsewhere, you can hear St. Louis Tickle performed by various artists, for example the California Feetwarmers. Note the Bolden theme, starting at 30 seconds into the film.