Re Sarah’s birth records, statutory recording of births started in Ireland on 1.1.1864. In the early years not every birth was recorded but if Sarah was born after that date and her birth was recorded, then the good news is that all those records are intact. They were not burnt in Dublin. They are intact and the indexes to them are on the familysearch site.
What were destroyed were some Church of Ireland records, eg baptisms. However even there not all records were lost. And other denominations records were not burnt either. So the first question is what denomination was Sarah, and the second is how certain are you of her year of birth?