Parallel Anthology Track 5
Track 5: Bill and Belle Reed - Old Lady and the Devil Columbia 15336-D; Recorded in Johnson City, Tennessee, 17.10.1928
Record label does not assign authorship. Nor does either Anthology booklet, or www.78discography.com.
The Roud Folksong Index classifies this song as a version of Child 278 or Roud 160.
California State University, Fresno has a webpage on this Child ballad, dating it to at least the mid-19th century, if not earlier. 
It is reasonable to treat this composition as public domain.
Farmer's Curst Wife by Mrs. May Kennedy McCord recorded in 1960: Max Hunter Collection
Devil's Curst Wife by Johnny Morris recorded in 1960: Max Hunter Collection
Devil Doings by Mrs. George Ripley, Milford recorded in 1959: Max Hunter Collection