John Paterson family from Mataura, Otago - 1870s.

I am seeking information on the Paterson family that arrived in Otago, NZ on the ship Auckland on 27 Oct 1875 and settled in Mataura. They originated from Fife and Auchterderran, Scotland.
The ship's passenger list states their names as John and Jane Paterson (parents) and 3 children: John, Helen and Elizabeth (Lizzie). Their ages are also stated which fits in with my research info that I have been able to obtain.
I would love to find out more about them.

I descend from John Paterson (b.1786) and Elizabeth Whyte who are the parents of the above John b. 1838.