Also similar, and probably related-

We'll Work Till Jesus Comes
Words by E. K. Mills, tune by Wm. Williams
19th C.
See Cyberhymnal, which has a rather poor midi and the lyrics.
http://www.hymntime.com/tch/htm/w/e/l/wellwork.htm

The 'white spiritual' (hymn a better term) We'll Wait Till Jesus Comes is discussed, with musical score, in the book Folk Music in the United States by Nettl and Myers.

They state that this hymn is the source for the black spiritual Down by the Riverside but I think that they are independent of each other.
Online, Google Books.