Are records kept?

There probably is a record somewhere but you can get a rough idea by going on to the OSI website, (http://map.geohive.ie/ is the one you want to be in, it can be a bit confusing to find) click the drop down Base Information and Mapping on the left, and it will give you a selection of historical maps to look at, there is more information under the i button, which will give you an idea of when there was a building there.

You can also look at the Land Direct site, see if there is any information on the maps. https://www.landdirect.ie/ 'proceed as guest'.

Have you looked at the deeds? When do they start?

https://www.nationalarchives.ie/article/guide-church-ireland-anglican-parish-registers/ might give you an indication of when records began in a particular church.

There is what appears to be a comprehensive list here https://www.ireland.anglican.org/cmsfiles/pdf/AboutUs/library/registers/ParishRegisters/PARISHREGISTERS.pdf
Also http://churchofirelandhist.org/

This sounds like a fascinating search, I did a search for a far more obscure bit of property and enjoyed the hunt. You may also find information about the area generally on the Down Survey site.

Finally it might be worth looking in on the Geneology site on Boards.ie they might have some ideas.