And I believe that those you list are from the only session with Hawkins. MOST of the Mound City Blue Blowers as a band were trio or quartet sides with Jack Bland, Eddie Lang or Eddie Condon, and that hot comb and kazoo sound from Red. . . .Some other sides had added musicians as well, including Bunny Berigan. Great stuff, if you ask me!
The later incarnation was more of a small group swing Chicago style influenced project, and had Berigan and others as well. Red's vocals were a more prominent feature.