Rather unhelpfully, my own copy of Sonny Boy Williamson's "Down And Out Blues" (1960) has a large photo of Sonny Boy the 1st on the cover - but all the music is by Sonny Boy the 2nd.
Incidentally, this album leads off with the track "Don't Start Me To Talkin'" - which those with long memories will recognise as the title of the column I wrote in "Rock On" in the late '90s.