From Blues Records 1943 to 1970 (Leadbitter & Slaven):
Skippy Brooks: piano; unknown: sax; "Wallace": bass; Kid King: drums - Nashville, 1953/54
Checking further & reading the liner notes from Southern Rhythms (Ace) - Ace rarely provided discographical information on their releases - the alto saxophonist was probably a man named Freddy Young, who played sax with Kid King's Combo when they began. The notes mention Young's admiration for Johnny Hodges, & that's evident in the alto sax playing on the two cuts you mention.
Also, the liner notes mention Clifford "Big Mac" McCray as the bassist with the early Kid King's Combo - he's also quoted in the notes - so it may be he on bass, rather than the "Wallace" that Leadbitter & Slaven credit in their discography.
Hope this helps.