The Wilcox book includes two melodies. One he credits to the "Southern Harmony". The other he describes as one of a family of "Star" (i.e Star in the East - rr) tunes and says one of the earliest printings is in the 1833 "Christian Lyre" by Joshua Leavitt. The second tune is clearly similar to but not identical to the one you have in "Folk Songs of the Southern Appalachians". All eight quatrains are printed with both melodies.By the way in the first line of the last stanza I posted above it should be "thy" and not "they".
rich r