Hi Judith, welcome to our Community! Before 1864, civil registration as we know it wasn’t introduced in Ireland. All of the records were kept in the form of baptismal, marriage and burial records at local parish churches, and what remains has been collected in genealogical centres
assigned to their county. If you get in touch with the right genealogical centre they would be more than happy to help you with your research.
Another great source of online information is Family Search
, where you can dive in the digital historical records to uncover more about your ancestors. Take a look at the other genealogy threads
on our forum as well for more useful information and tips about how to trace your Irish roots. I hope this helps!