I forgot to add that there are 8 lines, unfortunately not reprinted, commencing "Jennys a' wet, poor body", in the Mansfield/St. Clair MS, c 1770-1790. The tune citation there is "The Miller's daughter" rather than "The Miller's Wedding" (same tune but different title from that cited by Burns).

At least one editor has taken Burns' song to be a polite revision of that in 'The Merry Muses.'