Two completely different Foggy Dews, true enough. But the bachelor with a son song has existed in all kinds of versions all over the British Isles - it's one of that third category of songs I mentioned up the thread, which are native to the whole archipelago. Particular versions hale from particular places, that's true, but the songs are at home everywhere.

There's a lot to be said for looking around to find a version from your own neck of the woods - "your own neck of the woods" normally meaning something a bit more local than the country you live in or come from.
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The question of how second third and generation Irish feel about the country to which they have been transplanted has been affected a lot in England by the ongoing dispute between the two countries, which puts up a barrier, and that wouldn't apply in the USA. You'd never see a Union Jack in an Irish Assiociation in Engand, but I imagine the Stars and Stripes would be common in an equivalent setting in the USA.

I imagine whether it might be a bit more like that for some people with roots elsewhere, such as Mexico, where the shared history with the USA includes a fair amount of conflict and aggression.