No need to quote entire lyrics for both songs! Plenty of both already here.

"A-Soalin", so called, is a modern collation (Peter Paul and Mary) of several unrelated English songs, discussed in great detail in earlier threads. "Shool Aroon" (and many other spellings) is Irish, though considerably changed (particularly in America).

People do tend to cobble such things together to make longer songs or rounds, and while that's excellent for campfires (done it myself in my time) it can confuse people who not unnaturally assume that all the pieces really do belong together.

"Hay penny" is cute, but it's really just "ha'penny." Everybody pronounced it with the "lf" elided. Thirty-plus years on from decimalisation, and a fair while since the "half-new-penny" was abolished, I suppose such terms may start to seem quite exotic and require glossing. Makes me feel almost old.