There is another version of the text, called OLD NOAH, in Folk Songs of the South: : Collected Under the Auspices of the West Virginia Folk-Lore Society by John Harrington Cox (Harvard University Press, 1925), page 508.

It contains the notation:

Contributed by Mr. Decker Toney, Queens Ridge, Wayne County, January 20, 1916; learned from his mother, who learned it from her uncle, Riley Vance.

Like Kincaid's version, it seems to be derived from Russell's poem, but it has several awkward turns of phrase, no doubt based on mishearings or misrememberings.

If you want to sing this song, I recommend you learn Kincaid's version, and if you want to lengthen it a bit, take some couplets from the poem and drop or moderate the intense dialect.