Question about Castletown-Conyers graveyard next to RC Church ruins

I have a question about what the official name is for the graveyard situated next to the Catholic church ruins in Castletown, just north of Ballyagran in County Limerick. The reason I'm asking is this:

After years of research on the genealogy of our Flanagan and Malloy/Molloy lines, my husband and I finally got to go visit our ancestors' parish of Ballyagran in County Limerick this month.

Our plan was to walk the graveyard of the Catholic church at Ballyagran--at least that was what we presumed, but apparently I didn't do my research quite thoroughly. When we arrived at Ballyagran, we asked someone walking along the road next to what looked like a church--apparently it was a school--where the cemetery was. She told us we had two options: one to the south at Colmanswell, the other up the road at Castletown. We opted for Castletown.

While the walk through the ruins and old grave markers was fascinating, we were disappointed that we didn't find any markers with our family's surnames. Even so, we decided to make the most of it and photograph headstones to share online, in case others would like to know more about their ancestors from this area.

I had hoped to share headstone photos of these old grave markers on Find a Grave, but I can't find any entry on their website for the name Castletown-Conyers graveyard. That is why I am wondering if it also goes by another name.

Does anyone know what the official name for that graveyard should be?

Thanks in advance for any help with this!