Hi Candice,
It's good to see that you're doing some research into your Irish ancestry.
Before 1864 records were kept in the form of church and parish records; while some of these have regrettably been lost over the years, all the surviving records have been sorted into county-based genealogical centres.
As such, I would say it's a good idea to try the
Cavan Heritage and Genealogy Centre, which is located in Cavan Town. The earliest church records from Cavan date from 1702, so there is a possibility that you'll be able to learn more about your roots through this centre.
Our own
genealogy page is also a handy resource when searching your Irish heritage.
Regards,
Eoin