From Desdamona: "Let's face it: one doesn't often encounter the words "dingle", "puck" and "goat" in conjunction with one another!"The lyrics read like many an Irish folktale to me (often full of outrageous wonders, they are -- even the more staid and "official" myths), and a puka or puck is a Celtic mischievous hobgoblin or spirit that can take any form it so chooses, as the most famous Puck in English literature explains here. So a "Dingle Puck Goat" is a hobgoblin goat from the town of Dingle.
I had two doe goats as pets when I was growing up, and I know from experience that they are mischievous enough without any supernatural help (their favorite game seemed to be: "making those funny two-legged things jump up and down and shout"). So I had a feeling from the title that a tall tale of some sort was coming (But I was expecting something more like "The Darby Ram").
So -- where can I find the tune for this song? Or, perhaps, it's history?