Hi Tanya,
What an amazing family story - thanks for sharing it.
You've come to the right place for help with your search. Our forum members are super helpful and very knowledgeable.
To get you started, I'd like to suggest you have a look at this surnames search for details.
https://goo.gl/36N6UN 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.
https://goo.gl/mxUMA In 1864 civil registration was introduced in Ireland, which is when we started seeing the formal registration of births, marriages, adoptions and deaths. These records have been kept at the General Register Office of Ireland(GRO), to this day.
https://goo.gl/AlAk4u Community - can you offer some further assistance? Any information from Wexford, or general knowledge you can share?
Best wishes to you, Tanya.
Sionaínn