Groups are fun. We all like to belong to something, and we'd like that to be rather unique. Or at least that's my take on the Irishness test.
No, it's not a question of how much Guinness you drink, or whether you'd die first before donning an orange sash. It's who your nearest Irish relative is.
The exchange goes something like this:
"So you're Irish"
"Kinda, yes," I reply while thinking, "Oh dear, not again"
"So your <insert ancient relative here> is from Ireland?"
"No, my mother left at about my age"
"Ah, well that's ok then."
As near as I can guess, this game works something like this: If you were born here, but dragged off to America by the 'rents, you're at the top of the heap. One or two parents from here, but born in the states: you might be acceptable. After that, you're pretty much out of luck. Dunno how your luck runs if you're from somewhere other then the states. I'm guessing you get a touch more slack.
Don't get me wrong, no one is mean about it or anything, people just like to protect their groups. Wouldn't want a bunch of bloody foreigners pissing on the shamrock, so to speak.