My paternal grandparents, who both died before I was born, were born and raised in rural County Mayo, Ireland, not emigrating (first to Liverpool and then to New York / New Jersey) until after they had married, in 1912.

The (modernized) version of that "penny/ha'penny" rhyme, as my father remembered from family tradition, went like this:

Christmas is coming
The goose is getting fat
Who'll put a penny in the old man's hat?
If you haven't got a penny
A ha'penny will do
If you haven't got a ha'penny, God Bless You!

In this form, obviously, the little poem is associated with Christmas/Yuletide, not Halloween/All-Saints/All-Souls/Samhain, which comes a bit later in the year.

For Americans and others not in the know: a "ha'penny" is a half-penny, and the pronounciation (as I learned it, anyway) is "hay-penny."