I wanted to add this, from my notes to a later blues box (if it ever comes out) - because I've always thought Ammons was a significant influence on Coltrane, and this recording clinched it for me:
"Blowin’ the Blues Away Billy Eckstein Gene Ammons Dexter Gordon 12/5/44 Here is the future of jazz saxophone (after Bird, that is), particularly in the work of Ammons, whose thick cry of a tone, sense of blues modality as overlaid on the chord (with a regular return to the tonic) not only predicts but likely also influenced John Coltrane. Not to mention what a truly funky player he was, devoid of honker clichés and blues-phrase crutches"