Ah, let's flatter the tourists and with luck, they'll stand a round of drinks!
IME, the standard Irish question is still asked upon hearing an Irish name, no matter where you encounter Irish people anywhere in the world: "Where are your people from, dear?" If you respond with genealogy-speak, rather that just the name of a neighborhood or village, they've got your number.
My case is a wee bit odd. My siblings and I all had strong accents as young children, until the teachers at school hammered it out of us. The thing is, it takes me only about an hour after the plane lands for it to rise from the depths of my brain again. After a day I sound totally native, which can lead to some funny conversations when people use more modern slang that I don't understand.