"If you ever go across the sea to Ireland," then perhaps you can see Galway Bay. It's a land of beautiful women and children in the fields. They still speak a language the English don't know. The singer hopes to return there after death
The Digital Tradition lists this as by Arthur Colahan.
Its popularity is probably demonstrated by the supply of parodies. Ben Schwartz gave this description of Margaret Barry's (Roud #12926):
"Singer considers going back to Ireland; 'it may be when I hear she's passed away/' She had a mouth as big as Galway Bay and she'd live, swim and die in it if it were Guinness. The rest of the song is a complaint about everyone singing Galway Bay."
Ben adds, "Among the references in the song are Topic Records and 'The Bedford Arms,' where the performance was recorded."
The other parody, in the Digital Tradition, is apparently from Tommy Makem. It could perhaps be considered the same parody -- it also talks about Galway Bay full of drink. But the ending is different. - RBW