Lyrics at cowboylyrics .com have the heading:
"I Washed My Hands in Muddy Water"
Recorded by Stonewall Jackson 1965
Recorded by Johnny Rivers 1966
Lyrics and music by Joseph T. Babcock.

Chords given.
http://www.cowboylyrics.com/abs/jackson-stonewall/washed-my-hands-in-muddy-5251.html

Elvis Pressley- one of his covers credits Joe Babcock. Hear Pressley on youtube. A hard-driving version.
Pressley site-
http://wn.com/Elvis_Pressley__Wash_My_Hands_In_Muddy_Water


The Toronto-based band Scotty Campbell and his Wardenaires credit Joseph T. Babcock.
All country tabs also credits Babcock.