Birth Records for John Donnellan

[Chatso58]

      Hi
I am wondering if someone can help me, I am trying to find a birth record for
John Donnellan believed to be born in or around Killeely North Liberties Limerick Ireland, estimated birth date taken from his Headstone is 24th of June 1804 his age is also given as 74yrs and 6 months. He married Catherine McMohan in the Roman Catholic Church on 4th of March 1833 in Limerick city. Arrived in Australia on 14th of November 1834. He died in Armidale N.S.W Australia on the 24th of December 1879, I have death Certificate and parents are not listed
                      Chatso58