Obviously not sure what info you might already have from Australian newspapers ?
But the following tends to suggest that John MacPHERSON, (and I'm assuming this is the person you are seeking to find in NZ ?) ... had already returned to UK ... from Invercargill NZ ?
"The Argus" (Melbourne) - 26 February 1880 - page 1
DEATH
On 22 December - Isabella Watson MacPHERSON aged 14 years, eldest daughter of John MacPHERSON Esq. of Aylesmore House, St. Briavels and the Cone Paper Mill, Sydeny, Gloucestershire, and South Tyne Paper Mill, Hexham, late of Invercargill New Zealand, Melbourne, Victoria and Hobart Town, Tasmania :
~ Lu