There likely aren’t many artists who have done versions of both Black Sabbath’s “War Pigs” and the standard “Fly Me To the Moon,” the former front-porch blues style with a resonator guitar and the latter in front of a full big band à la the Frank Sinatra/Count Basie/Quincy Jones version.

There certainly aren’t many who have done that and, starting in 2011, won seven out of the next nine Blues Music Awards’ Koko Taylor A...