I see that Joe has added to his earlier post since I provided the provenance for Child 56A. I suppose I'd better do likewise for version B. This is titled Diverus and Lazarus, and is described as "From memory, as sung by carol-singers at Christmas, in Worcestershire, at Hagley and Hartlebury, 1829-39; F.S.L., in Note and Queries, Fourth Series, III, [page] 76."
This was the edition of January 1869; the page in question can be seen online at The Internet Library of Early Journals:
A Worcestershire Carol (1)
A Worcestershire Carol (2)
"F.S.L.", who called the song A Carol of Diverus and Lazarus, commented:
"I forward a copy, from memory, of one of our Worcestershire ballads. This is a carol, or was sung for one, and every village child knew it thirty to forty years ago. I once saw it (about 1833) on a hawker's broadsheet, but have never seen it since; and of late years the clergy have been discouraging carol-singing of this kind..."