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The RC records for Kilvine parish start in 1870 based on the information on the subscription site Roots Ireland. Likely earlier records were lost.
Civil birth records should be available for children born in the parish 1864 or later.
Here is a link to the Facebook page for the parish https://www.facebook.com/Kilvine-Parish-Community-1510648465867806/ and the RC parish web site http://kilvineparish.ie/