Ó Coinín
Ó COINÍN—I—O Conyne, O Kenyn, Conyeen, Cuneen, Cunneen, Cunnien, &c, and, by 'translation,' Rabbit; 'descendant of Coinín' (probably a diminutive of cano, a whelp, wolf, if not a variant of Conán); a rare surname; found chiefly in the midlands.
Alphabetical Index to Irish Surnames