I claim the Irish (I believe no one else has). I would also like to comment that the Irish religious center should be in either Kildare or Armagh, not Gallway. Even if Gallway is the political center, Kildare (Gaelic: Cill-Dara) and Armagh (Gaelic: Ard Mhacha) were always the religious centers, with Kildare being the center of the monasteries, the most important part of the Celtic Rite hierarchy, and Armagh a more ritual center and the center of the bishops (although do note that the Abbess of Kildare was the most powerful pre-Latin figure in Celtic Rite Christianity). As for the name, I would suggest either the Celtic Church or Gaelic Church. Traditionally, the rite of Irish Christianity was known as the Celtic Rite, Gaelic Rite, or most commonly to the outside world the Rite of Collumcill (sp?), Collumcill being, in a sense, the father of the Irish monastic and missionary movement overseas (St. Patrick and St. Brighid were far more important to the Irish themselves however, as St. Patrick was the evangelizer to the Irish and Brighid played sort of the role of St. Peter, founding the closest thing Ireland had to a Papal line).