Looking for Terence Rodgers CO Amargh Ireland

I am looking for the family of Terence RODGERS, born abt 1844 in Besbrook, Newry, Co. Armagh, Ireland.
He emigrated to Victoria, Australia abt 1865 and a year later moved to Oamaru in New Zealand where he was involved in farming. He married Hannah O'SHEA who was from Millstreet, Co Cork, Ireland.
Any information about Terence's family in Ireland would be gratefully received.