This is their second recording session under this name and one of four total made for Columbia.
There is at least one more Bradford outfit, called The Gulf Coast Minstrels (basically a comic dialog), that was recorded on Columbia in 1923 also. The Nick Tosches' book Where Dead Voices Gather is the only information I could find on the net linking Bradford to the recording
Gus Aiken c / Bud Aiken tb / ? Garvin Bushell cl / Ernest Elliott cl, ts / Leroy Tibbs p / Sam Speed bj.
Recorded in New York on August 7, 1923.