Jessie Smith married James Winter (no Middle name) in 1919
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New Zealand, Electoral Rolls, 1919

Name: James WINTER - Farmer
Name: Jessie WINTER - Married
Name: Robert WINTER - Farmer
Name: Ellen WINTER - Married
Menzies Ferry, Mataura, Southland
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New Zealand, Electoral Rolls, 1935, 1938, 1946, 1954

Name: James WINTER - Farmer
Name: Jessie WINTER - Married
Menzies Ferry, Mataura, Southland
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New Zealand, Electoral Rolls, 1957

Name: James WINTER - Farmer
Name: Elsie Elizabeth WINTER - Married
Menzies Ferry, Mataura, Southland
(Jessie not mentioned)
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New Zealand, Electoral Rolls, 1963

Name: James WINTER - Farmer
Name: Jessie WINTER - Married

Below I assume are 2x of James & Jessie Children:

Name: Elsie Elizabeth WINTER (nee:CAIN) - Married in 1953 to
Name: William Eric WINTER - Farmer

Name: Mary Evelyn WINTER (nee:HILLIS) - Married in 1951 to
Name: Stanley WINTER - Farmer

Menzies Ferry, Mataura, Southland
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New Zealand, Electoral Rolls, 1969

Name: James WINTER - Retired
Name: Jessie WINTER - Married

Name: Elsie Elizabeth WINTER
Name: William Eric WINTER - Farmer
Name: Mary Evelyn WINTER
Menzies Ferry, Mataura, Southland

Name: Stanley WINTER-Farmer(Shown at Wyndham not at Menzies)
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New Zealand, Electoral Rolls, 1972 (no James or Jessie)

Name: Elsie Elizabeth WINTER
Name: William Eric WINTER - Farmer
Name: Mary Evelyn WINTER
Name: Stanley WINTER - Farmer
Menzies Ferry, Mataura, Southland
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James WINDER - Date of Death 12 Jan 1974
Jessie WINTER - Date of Death 28 Jul 1976
http://www.southlanddc.govt.nz/cemetery-search/CemeterySearc...
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NZ Probates

Name:WINTER William Eric
Place:Menzies Ferry
Occupation:Farmer
Court:Invercargill
Archives Reference:DAFG 9069 D328 181/76
Probate Number:181/76
Filed Date:21 Apr 1976
Type:Will
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Southland Cemeteries

Name: WINTER William Eric
Date:3 Apr 1976
Age:56 years
Cemetery:Wyndham
Block:A
Section:XVI
Plot:2
Source:Register of burials
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New Zealand, Electoral Rolls, 1981

Name: Elsie Elizabeth WINTER - Widow
These could be another Generation below?
Name: William G WINTER - Frezzing worker
Name: Sheryl Anne WINTER - Shedhand
Name: Neville Ralph WINTER - Labourer
Island-Edendale Rd, Menzies Ferry, Mataura, Southland
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I found Neville still lives at this house,
243 Island-Edendale Rd, Menzies Ferry, Mataura, Southland

Ralph may have been married to Apryl WINTER
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Info on the area: http://www.howden.net.nz/aboutme/?page=matauraisland
You could try contacting the person who wrote that as surely they would know this WINTER family