Yes, I know he was English, but his ancestry was Irish. Do you think he was Black Irish (dark hair and eyes) as opposed to the blue-eyed, red-haired Irish? If I'm remembering correctly his mom's father was from County Wicklow, and his father's family, several generations back, from County Sligo. Black Irish men are sooooo good-looking!
Until now, I've only ever heard the term Black Irish being used as a description for dark-haired Irish men with very white skin and blue eyes (or sometimes hazel eyes). By that definition the only Beatle who would qualify as Black Irish would be Paul, although the expression is more often used to describe dark-haired, blue-eyed people because that combination is so rare, but at least Paul's very light skin tone and dark brown hair fits the definiton.
George looks pretty much like a typical dark-haired person to me.
John apparently had a tinge of red in his hair (auburn?) that was much more noticable in real life than in photos and films (though I have no idea how that is supposed to work)
Ringo would totally fit the description but I don't think he has any Irish blood in him.
But I also didn't know that George had Irish ancestors either.
It's kind of fascinating that so many famous English singer/songwriters actually have Irish roots (John, Paul, George, Noel Gallagher, Morrissey,...). Must be all that great Irish folk music and those rebel songs that are somehow running through their veins...
edit: I just realised that the Gallagher brothers could be considered Black Irish, they both have dark hair and blue eyes!