Thanks to all who have replied to this request.
I have gotten my info from handwritten death certs for Mortgagh Kennedy, and Rachael from NZ. They got married in Ireland and I do not have any documents to support this only both their death certs which I could attach to see what anyone thinks is the correct surname.
In relation to Henry, again I have no other official docs other than the death cert although he was born in NZ I am assuming and I do not have a verified birth date to search for. I will attach death cert for Martagh listing Rachel as his deceased wife and the one for Rachel listing her parents names as this may be a bit easier for someone experienced to read. Rachel's parents names appear to be John and Rachel. I have some documents that also spell her first name with a extra a, as in Rachael as well.