The other version you heard could have been "Death Came A Creepin' In My Room" by the Goins Brothers. Here's their version (feat. Kenny Baker) from a live recording at Bean Blossom (1969) by Ken Landreth available here

DEATH CAME CREEPING INTO MY ROOM

Soon one morning, death came creeping into my room (x3)
Oh my Lord, what shall I do? I do?

Death's done come and took my mother away (sim.)

Death's done come and took my father away (sim.)

Ride on, death, 'cause you can't do me no more harm (sim.)