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I searched on the free site www.irishgenealogy.ie which has Dublin city church records. I found the marriage record for Thomas and Elizabeth on December 26, 1884 at St. Nicholas and a baptismal record for Anne on August 15, 1803 also at St. Nicholas. ( I assume you already have these records). I did not see any other records. There may be some gap in records in the late 1700s https://registers.nli.ie/parishes/0500