That Thorogood version above looks like a take off from Woody Guthrie's Bad Lee Brown, recorded earlier by Tom 'Clarence' Ashley if I recall correctly:

It was late last night when I made my round
I met my woman and I blowed her down
I went back home and got into bed
Put that 44 pistol up under my head

Early next morning by the rising sun
I got up and I made my run
I made a run but I run too slow
A man overtook me down in Jericho etc etc etc