Comparing the sons names I might have found the parents and a marriage, not sure about the dates as you dont mention any

Julia Corcoran nee Long and Daniel Corcoran had sons with the names, Timothy, Michael, Cornelius

Found a wedding from Cornelius

Diocese of KERRY , Parish of MILLSTREET R.C.
Marriage of CORNELIUS CORCORAN of COOMLEGAUNE and MARGARITA (MARGARET) CONNOR of MILLSTREET on 18 February 1868

father bride : Patrick C Connor, mother bride Johana Horan