It's lovely to hear that you are trying to find possible relatives here on the island of Ireland!
Civil registration was introduced in Ireland in 1864 and 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 through the Irish Genealogy
As the record is quite recent and hopefully she may be still alive, there are restrictions on records being available. I would suggest trying the Dublin City Council Family History
pages too as a helpful resource to try.
I'm sure our Industry partners and fellow members will have some advice also.
We hope this helps get you started!