Irish Song from Children's Folk Album?

Is anyone here familiar with an Irish ballad about a man who is being chased around by a wooden leg?

Around 1960, my brother and I got an LP (can't recall whether it was 10" or 12"), a collection of international folk songs, intended for children, sung by various artists who had believable foreign accents corresponding to the songs. The ones in French included "Sur le pont d'Avignon" and "Frere Jacques". One in Yiddish was "Tum Balalaika". The only other one I remember (and not very well) was my kid brother's favorite, one presumably from Ireland about a man who lost his leg and subsequently was getting chased around by the peg leg he acquired to replace it, which apparently had a mind of its own. The nonsense chorus word at the end of each verse was something like "O di-diddle-o."

I've drawn a blank so far in three search engines, down long lists of used items on Amazon and eBay, and on YouTube. (Or rather, I've found a lot of things that on inspection turn out not to be what I'm looking for.)

I decided tonight to make one more try at the long story that my "Corey's Last Concert" was adapted from. Our protagonist's first performance, at age 10, is at a high schoolers' concert featuring various folk genres, one of which is Irish. Since at his age he doesn't fit into any of the groups, he's been given the role of host, singing one song in each genre to introduce each of the acts. He was all set to go with the Irish Rovers' "The Unicorn", but it got rejected because it's actually a Shel Silverstein song, even though it's usually sung in a brogue since the Rovers got to it first. If I can find this wooden leg song and it's consistent with my recollection, it'd make a really good replacement.

(Rejecting "The Unicorn" is a plot point; there's another more significant rejection later in the concert. So letting the kid sing it anyway isn't a good option.)

Eric