Parallel Anthology Track 12
Track 12: The Carolina Tar Heels - Peg and Awl Victor 40007-A; Recorded in Atlanta, Georgia, 14.10.1928
The Where Dead Voices Gather blog states, "The song's lyrics place this song in the early 19th century, during the period of the British Industrial Revolution. […] One possibility is that 'Peg and Awl' might have descended from an earlier song written in the early 1800s. During the 1840s and '50s, when cobblers were suddenly finding their livelihood threatened by - among other things - Elias Howe's invention of the sewing machine in 1846, some musician may have substituted shoe making for an earlier industry. Nevertheless, the song has survived in its present form since the mid-19th century, at least."
There are therefore good grounds for treating this composition as public domain.
Peg and Awl by Pete Seeger album released in 1957: Spotify
Liner notes for this album date this song to 1801-1804 and make no claim to arrangement credit for Seeger.
Peg and Awl by Kelly Harrell from album Kelly Harrell vol 1: 1925-1925: Spotify Unable to find liner notes for this album, but this is a very similar arrangement to the (later) Tar Heels version on the Anthology.