I am wondering if someone can give me hints on finding Irish records.

I have Esther Magee, born 1871 in Antrim Northern Ireland, died 1958 in Dunedin New Zealand.
Married Joseph Cook of Dunedin New Zealand.

Her parents were Patrick Magee and Nancy Ellot.

I am struggling to find their birth and death details, as well as anyone beyond them.

Any help would be much appreciated.

Thanks.