Hi Verina
Thank you for your query. I am sure you are aware that there is more than one Kilcullen in Ireland. If you are not definite which Kilcullen applies to your great grandmother the website below may help:
http://www.irish-place-names.com/
Enter the place name and it will give you a list of which counties each Kilcullen is in, at least you can narrow it down by the process of elimination. You could try checking the land records called the Tithe Applotment Books (1823-38) http://titheapplotmentbooks.nationalarchives.ie/search/tab/home.jsp or the later Griffith's Valuation (1848-64) http://www.askaboutireland.ie/griffith-valuation/ or the Church of Latter Day Saints (LDS) https://familysearch.org/
These lists constitute the only nationwide survey for the period, and are valuable because the heaviest burden of the tithes to the Established Church, the Church of Ireland, fell on the poorest, for whom few other records survive. For Parishes where the registers do not begin until after 1850, this information can be useful, as they are often the only surviving early records. They can provide valuable circumstantial evidence, especially where a holding passed from father to son in the period between the Tithe survey and Griffith's Valuation.
You can use Griffiths Valuation to find if there is any corresponding record of John Bourke in Kilcullen in Nass, Kilcullen in Cork etc.
Civil registration records are available from the General Register Office (GRO). These start from 1864. You can access the website here: http://www.groireland.ie/research.htm
Do you know what the religious denomination of your family was? you can view what Roman Catholic records exist for KIlcullen and parishes nationwide through the link below:
http://www.irishtimes.com/ancestor/ (Browse Roman Catholic Parish Map)
For Church of Ireland records see: http://ireland.anglican.org/about/42 and http://www.nationalarchives.ie/. The Anglican Record Project is has created an index to their records: http://ireland.anglican.org/cmsfiles/pdf/AboutUs/library/AngRecord/bunclodyunionindex.pdf
Here are some other websites that may be of help to you:
http://www.irishtimes.com/ancestor/browse/
http://www.nationalarchives.ie/genealogy1/genealogy-records/introduction/
http://www.nli.ie/en/family-history-introduction.aspx
http://ifhf.rootsireland.ie/?gclid=CKLT_Pa4wrUCFYUf4Qod4EoAGg
We hope that this information is of help to you Verina. Please do not hesitate to contact us again.
Kind regards,
Genealogy Support
