"I don't tell Irish people that's dad's from Ireland unless it naturally comes up in the conversation."
"Neither do I. Is that because you noticed that everyone seems to have some claim to being Irish?"
Two out of three siblings agree (and I'm sure the other one does too, he just wasn't there) that telling Irish people our family is from Ireland is a dumb way to start a conversation. Eventually it comes out because I always ask where in Ireland they're from and then they're shocked when I call them on the fact that Mayo isn't really 'near Dublin', but I don't meet an Irish person and immediately tell them my family's Irish. Surprisingly, however, a lot of people do and most of those people have never even been to Ireland.
People seem to have a real attachment to being Irish, even when it's been generations since anyone in their family has called Ireland 'home', and it can make it awkward for me to admit that my background is Irish. I'm instantly met with disbelief from any true Irish person or I'm instantly met with a story of some one's great-great-great-grandma who came from Cork (they think) in 1850's (they think) because of the famine (they think) but she passed down her love of Ireland to her children and so on and so forth... and then I understand why Irish people always roll their eyes when someone shouts 'I'm Irish, too!' without a trace of an Irish accent.
My dad being Irish has definitely influenced my Canadian upbringing and I'm proud of my Irish heritage but I'm not Irish.
And unless you were born there, neither are you.