I'd love to see what I can do to help you find out more about your roots.
Here you can find some information about the Oneal surname
and its early origins.
Some helpful information to keep in mind during your research: 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
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.
I also recommend that you check out the Irish Genealogy page
on the Ireland.com website for more tips and advice on tracking down your Irish roots.
I hope this information will prove helpful and I wish you all the best.