Go back thru some of the postings on Spink or Arbroath, Google Bell Rock Lighthouse and you will find plenty of information .. not forgetting Scotland's People.
The only Spink that I am aware of who came to New Zealand was Rose Barbara Jane Spink in 1874 daughter of David Spink and Margaret Grant. Can give you plenty of information and what flows from there. You will need to prove a family connection first.
Wish you luck
Get back to me if you run into problems
Alex G