Help finding the parish of John James McGarry

Hello! I've been doing some research on my ancestors, but as soon as I found the Irish roots, I hit a wall! So I'm looking for the parish of John James McGarry. Unfortunately, I know little about him while he was still in Ireland, but hopefully someone on here might be able to help me. Thank you so much!

Full Name: John James McGarry

Birth Date: November 25, 1832

Place of Birth: County Cork

Spouse: Bridget Butterworth of County Limerick

Children: 

-- Margaret McGarry (born in around 1855 in London)

-- Johanna McGarry (born in around 1858 in London)

-- Mary McGarry (born in around 1860 in London)

-- Daniel John McGarry (born in around 1860 in London, 6 months after Mary) 

-- James McGarry (born in around 1863 in London)

-- Patrick Joseph McGarry (born on Feb 19 1869 in Pennsylvania, USA)

At some point between his birth and 1861 (sorry, I don't have a more specific date - probably before 1855 when his first child was born), he moved to St. Marylebone parish in London, England, where he worked as a police constable and lived with his wife, children, and a boarder named Catherine Newnham (born in about 1840), who was also from Ireland, although I'm unsure if they met there or in England.

Then, on October 15, 1866, he arrived with his family in New York City on a ship named Malta. He and at least part of the family mentioned above then moved to Armstrong, Pennsylvania (near Pittsburgh). He died 4 years later in 1870 of a broken spine, in an injury most likely related to his work as an ore miner.

Like I said, most of the information I have on him is what happened to him once he left Ireland, so I'm not sure how much it will help. Any clues to a parish would be much appreciated though. Thanks again!