Parallel Anthology Track 63
Track 63: Bascom Lamar Lunsford - I Wish I was a Mole in the Ground Brunswick 219-B; Recorded in Ashland, Kentucky, April 1928
Record label does not assign authorship, nor do the notes in either Anthology booklet or www.78discography.com.
Lunsford said of this song, "I've known it since 1901 when I heard Fred Moody, then a high school boy, sing it down in Burke County." 
These are good grounds for treating this composition as public domain.