Valid point, Tootler.

But perhaps the geographical point of origin of a song is irrelevant. The cultural point of origin is more to the point, I'd say. For specific gigs I've written many a song in the Irish musical tradition, referencing people and places in Ireland or in Irish history (e.g. Boru, Grania, etc.). If someone were to call one of those an Irish song, I don't think that would be out of line.

Wasn't it the Wolfe Tones who sang, "My home is in Ireland wherever I may be"? Well, as a dual citizen, my home is in Ireland though my body is not.

(BTW, I'm not a traveler. The above is just my nickname.)