Council suffered a stroke in the late 1960s, which partially paralyzed his throat muscles and slowed his motor skills, but did not significantly damage his cognitive abilities.
The folklorist Peter B. Lowry attempted to record him one afternoon in 1970, but Council never regained his singing or playing abilities.
Syd Barrett, of the English psychedelic rock band Pink Floyd, created the band's name by juxtaposing the first names of Council and South Carolina bluesman Pink Anderson, having noticed the names in the liner notes of a 1962 album by Blind Boy Fuller (Philips BBL-7512), written by the blues historian Paul Oliver: "Curley Weaver and Fred McMullen, ...
Pink Anderson or Floyd Council—these were a few amongst the many blues singers that were to be heard in the rolling hills of the Piedmont, or meandering with the streams through the wooded valleys.
In a 1969 interview, Council stated he had recorded 27 songs over his career, seven of them backing Blind Boy Fuller.