some details on the people mentioned from the Ecclesiastical Directory in Thom's 1852, in case that helps :
Established Church (Church of Ireland)
Right Hon. and Right Rev. Thomas Plunkett D.D., Lord Bishop of Tuam, Killala and Achrony. palace at Tuam
There are several RC parish priests listed in Co. Mayo with the surname Ward - not sure, but three of these (Peter) could all relate to the same person serving more than one parish :
Andrew Ward, Tuam, Dunmore (Diocese, Post town)
Peter Ward, Tuam, Westport
Peter Ward, Tuam, Ballinrobe
Peter Ward, Tuam, Castlebar
According to this article by Turtle Bunbury
Fr. Patrick Lavelle - The Patriot Priest of Partry, the dispute related to sending children of the Bishops tennents to the new National Schools, rather than protestant schools.
Shane