Hi Bill,
www.rootsireland.ie has a record of a John Conmey being baptised in the parish of Aughoose/Bangor on December 19th 1856.
Father: James Conmey - Mother: Honor Conmey. Sponsors: Francis Conmey and Mary Conmey. Address: Balinunmera ((Bellanumera).
This John would appear to be the man who married Bridget Maughan in January 1888. He is recorded as being 30years of age in the Civil marriage record. The bridesmaid for Bridget was Anne Cleary. Bridget's address was Glencullen.
A James Conmy was baptised on October 9th 1859 in the parish of Aughoose/Bangor. His address: Bellannmera. His father recorded as James Conmy and his mother as Honor CONWAY. Sponsors: Thomas Conway and Ann Conway. I believe John and James were brothers?
Birth record of John Conmy's son - James - attached.
Bridget Maughan was possibly an aunt of Anne Cleary's mother - Catherine Maughan Cleary.
Griffith's Valuation records Francis and James Conmee in the townland of Bellanumera - Civil parish of Kilcommon. There is a Thomas Conway on the same sheet in a different townland. Glencullin Upper is also in the Civil parish of Kilcommon. Information taken in early 1850's and printed in 1855.
Credits: www.rootsireland.ie - www.irishgenealogy.ie - www.askaboutireland.ie/Griffith's Valuations
Regards,