Below is an example that shows you the type of information that is available.
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The Thames entry on this page is for JOHN JOHNS, entry No 9, British residence: St Just Penzance, Date of order: Sept 27 1888, value of estate: under 860 Pounds, Deceased date Sept 1 1888.
John JOHNS was buried at Shortland Cemetery, Thames 3 September 1888; native of Cornwall. There is no headstone, the plot number is 1135, he was aged 59 years.
In the 1881 Thames electoral roll there are two JOHN JOHNS, both miners; one living in Pollen Street and the other at Waiotahi Hill. The reference to St Just is common for many Thamesites in their genealogy. The cornish miners were a nationality that settled in Thames in large numbers during the gold rush. My Pascoe/Williams ancestors were from St Just in Penwith and they were just a few of the names that immigrated to New Zealand from this particular village.
Definetly a resource to add to your lookup list, for ancestors all over New Zealand.