Dicho: I'll try to E-Mail/Attach some scannings of various versions of "greenfields"; see if you can see any relationship between them!
One is from the Boston Academy School of Music text, 1835, and another two are from the Southern Harmony; one 1853 edition and one 1857 (shape note).
I wish we had some way of posting graphics here on a thread for all to see.

It seems as though those pre-Newton folk lyrics are still eluding us; I hope that they are not forever lost to posterity (as all too many of them are).