I can't find my copy of Chambers right now, but the version of Jeny jo he gives is verse-for-verse parallel to Irdisches Leben - one girl acts the Jenny role asking for bread and the others go through successive reasons why she can't have it just yet, till she dies just when it's baked. I think the dance pattern is rather like a rugby lineout. I don't know the English courtship one of the same name.

Tunes of that name turn up in several sources, I can post Thomson's at least. I haven't looked closely at how similar they are.