Subscription site - www.rootsireland.ie - has a record of a Mary, 1870, Nora 1872,John 1874 and Bridget 1876. Parents: Martin Carrig and Bridget Finn. Parish: Kilshanny.
I attach a Civil record for a Mary Carrig - www.irishgenealogy.ie - Free site.
There appears to be another "Martin Carrig" in Doolin parish who is married to a Mary Finn. I will check this out further and get back to you.