The Family Search site also has births as I said earlier. There is a Mary Matilda Bermingham born 1897 who may fit.
You could then look in Irish censuses 1901 and 1911 for any possibilities.
http://www.census.nationalarchives.ie/Birth and marriage certificates can be ordered at
http://www.groireland.ie/Do you have James in English censuses or his birth record?
