Other than this site telling us helpfully that the custom of well dressing often included music and dance (but going no further unless I've failed to crack it's nightmarish navigation) I can't find anything.

I'd say ask Doc Rowe.

Other than that, there's the Anne Briggs song Go Your Way which begins:

Drawing water from the well

which I could easily imagine you singing. But all those about dropping bodies down them . . . mmm not sure.