How are you Karen
My name is Colin Synan I am a Sligo based Genealogist,there is a chance of obtaining a birth certificate,if the children were registered,as 70 percent of people were,at that time. In the 1901 census I found Tom aged 48 and Bridgit 38 with children Pat 18 other children are Mary Ellen, Micheal, Annie, Thomas, Sarah, Katie, and Luke,in the Killmactiege area of Sligo.
Send me an e-mail firstname.lastname@example.org
when I will send to you the census return and see if I can get a birth certificate for Patrick,all the best Colin