Hmmm? Im clueless about DNA tracing but this does seem like an odd match. This James Morgan from Armagh was of an Irish Catholic background which in Armagh would mean his Morgan surname was an Anglicized form of O'Muireagain, not even the same family as the Welsh Morgans. It is technically possible that this Morgan could be a descendant ofWelsh Morgans who came to Ireland in the Middle Ages. Or even a Morgan who came to Northern Ireland in the 17th or 18th century and married into the local Irish Catholic community. But geographically the O'Muireagain origin would be far more likely.
At any rate, Google: Hayes Pinder Morgan for a look at this Morgan outfit.
Peter (not a Morgan)