Even though he's said to be of Armagh, I'd go with Tyrone. With McQuaid/McGuire marriages then they must be related, in a close way. Like a first cousin of Hugh or something. My ancestor, John McQuaid, is the bishop's first cousin. Bishop's family was from Tyrone. I'm in the process of getting a look-up for a book called "The McQuade's." It says it tells about the genealogy of Bishop McQuaid. We may be related. The search continues.