Hi Mary and welcome to the community. :)
You have a unique case of records to look for there, since they overlap the periods from the before and after the introduction of civil registration. Before 1864 the only records kept were in the form of church and parish records (so usually baptismal records instead of birth certificates, and burial records instead of death certificates). Many of these have regrettably been lost over the years, however, 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.
That being said, your great-grandmother was born exactly when civil registration was introduced, meaning depending on how close to a major city her family lived, her birth may have already been recorded at GRO, but it may also have been recorded at the church and thus now her documents could be located in the genealogical centre of Kildare. ;) Since her siblings would all have had church registrations and her marriage would have been registered at GRO (if she married in Ireland) I would recommend that you simply reach out to both offices to see what you can find.
Good Luck with you research; I really hope this helps. :)