The important detail you need for searches is the name of the parish rather than a particular church. The registers were (as still are) kept by the parish in whichever the parish church was at the time.
The RC parish for Templemore is known as Templemore, although you may see it listed as 'Templemore and Killea' or sometimes 'Templemore, Killea & Clonmore. Killea relates to a civil parish included in the RC parish, and Clonmore appears to be a reference to Killavinoge civil parish, which is also included in the RC parish.
Shane
