The Orange and the Green https://mudcat.org/@displaysong.cfm?SongID=4523 is lacking attribution to Anthony Murphy for the words.

I think the transcription given by Joe Offer in the discussion thread https://mudcat.org/thread.cfm?threadid=80905 is better than that given in the DT/
Surely "Oh, my father was an Ulster man" (or even My father was an Englishman") for the first words fit the rest of the verse better than "Once there was an Irishman". As Tony Murphy was a Merseyside resident, perhaps he did write "My mother was a Catholic, from Kelsey town came she" I don't know; I would suggest "from Keady town came she", and Joe Offer wrote "from County Cork came she," as he heard that in recordings. A mother from Keady (in N Ireland) goes well with with the father and Englishman, while Cork goes better as a contrast with the father an Ulsterman. Does anyone know what Tony Murphy actually wrote, or if he perhaps had more than one version? In any case, he does deserve credit as author of the lyrics.