Hi Katelyn,
Thank you very much for your message. I hope that someone with information makes a connection with you and helps you to further your research.
In the meantime, I did a quick search of online indexes to Irish civil records for Elizabeth. As Elizabeth would have died after 1864 there would be a civil record of her birth.Two possibilities came up; an Elizabeth born in Carlow 1856 and an Eliza born in Carlow in 1857:
https://familysearch.org/search/record/results#count=20&query=%2Bgivenname%3Aelizabeth~%20%2Bsurname%3Adonohue~%20%2Bbirth_place%3Acarlow~%20%2Bbirth_year%3A1856-1858~%20%2Bdeath_place%3Acarlow~&collection_id=1408347
Unfortunately, there is no way to know for sure if these are relevant just by looking at the indexes. In order to get a copy of the actual cert you will need to contact the GRO. They can give you a research copy for 4 euro per cert. Here are their contact details:
General Register Office
Government Offices
Convent Road
Roscommon
Ireland
Tel:+353 90 663 2900
Locall:1890 25 20 76
Fax:+353 90 663 2999
Homepage: http://www.groireland.ie/
Also, have you tried looking for Elizabeth in the 1901/1911 census records? This may help you narrow down when her death occurred. You can search these online here: http://www.census.nationalarchives.ie/
Kind regards,
Genealogy Support
