Parallel Anthology Track 4
Record label does not assign authorship. Nor does either Anthology booklet, or www.78discography.com.
This is clearly a fairly faithful version of Child 274/Roud 114, which has existed since at least the second half of the eighteenth century. 
It is reasonable to treat this composition as public domain.
Drunken Fool by Doris Venie recorded in 1961: Max Hunter Collection
Three Nights Drunk by Gid Tanner and Riley Puckett recorded in 1961 (according to wikipedia): spotify