The Red Hot Jazz Archive has recordings of HARD HEARTED HANNAH by these artists, all from 1924:
Cliff Edwards "Ukulele Ike" - Click to play.
Herb Wiedoeft's Cinderella Roof Orchestra - Click to play (instrumental only)
Lucille Hegamin - Click to play
Paul Whiteman and his Orchestra - Click to play (instrumental only)
Rosa Henderson and the Choo Choo Jazzers - Click to play
The Little Ramblers - Click to play (instrumental only)
The Varsity Eight (a.k.a. The California Ramblers) - Click to play (instrumental only)

RHJA also lists recordings by these performers (but they don't have a playable file):
Dolly Kay
Eleuterio Yribarren Jazz Band
Fletcher Henderson Orchestra
Harry Reser
Henderson's Club Alabam Orchestra
Sigler's Birmingham Merrymakers
Windy City Jazzers