Put Your Hand On Me was recorded by John Lee Hooker with Kingfish. Bob Weir was part of Kingfish on this recording.
There appear to be no other recordings of this song.
Recordings
Kingfish, Kingfish, 1985 Double Dose, Kingfish, 1988 Relix's Best Of Kingfish, Kingfish, 1997 Relix Best Of The Blues Vol 1, Various Artists (Kingfish), 1997