Well, I found the origins of the words I posted yesterday and my face is a little red. It was in Songs the Irish Love to Sing: Irish Songbook, published by Charles Hansen, Inc. The words were by, well, one Charles Hansen and the music "by" Jeremiah Dugan, all copyrighted in 1947. Presumably Jere wrote the piano accompaniment.
Maybe publishing children's band methods, like the one I went through on clarinet as a kid, was ole Charlie's day job and he really wanted to be an Irish song writer. Then again, maybe not. I don't really know much about him.
By the way, the fourth line should read:
"And her heart's like a shamrock, it sings a gay song."
(Just don't tell the New York Hibernians that shamrocks sing gay songs! Or maybe DO tell them!)