Hugh McCarthy son of Henry McCartan (farmer)and Catherine was married to
1) Rose Hay. their children were
Henry 1834, Ir
Catherine 1836, Ir
Hugh 1838, Ir
Mary1839 bapt 4 Aug 1839, Castletown(godparents Michael & Lucy Doyle)
Denis, 18 April 1841 (godparents John King & Ann Elizabeth O'Neil)
Rose 22 Oct 1842

I agree with you about naming of children in Irish families, it's certainly true in mine and looks as if it is in yours.

Owen's children seem to be named
Patrick after Owen's father, then Henry after Bridget's father.

2nd marriageHugh McCarthy,(widower) son of Henry McCartan, farmer, to Mary Downey of Kirk Patrick.15 Nov 1851, daughter of Patrick Downey, gardener.

It looks as if Hugh's children Henry, Catherine, Hugh & Mary, could have been godparents to Owen & Bridget McCluskey's children.

The children in the same grave as Owen & Bridget McCluskey could be their grandchildren John Henry, born 1872 and Bridget born 1874, children of Patrick & Fanny(Keays)

In 1881 census Patrick & Fanny's younger daughter was living at 4 Seneschal Lane with her Godfather Joseph Simpson & his family.

Marie