Unknown previous husband as evident from the Will of new husband, Victor Trevor Fraser, dated 4 May 1980, found on Archives New Zealand Collections found online in July 2025:
"...for such of my wifes grandchildren DAVID COCHRANE, PETER COCHRANE and STEVEN COCHRANE as shall be living..."
The above mentioned children are believed to be grandchildren of this unknown person and Josephine Margaret (now) Fraser.

Surname of “West” from death search of daughter on New Zealand BDM website in July 2025 using surname suspected being “West”:
2021/5334. Cochrane [West], Colleen Josephine. Date of birth: 3 July 1930

First given names, year and country of marriage from search on New Zealand BDM website in July 2025:
1929/7334. Bride: Josephine Margaret Bain. Groom: Arthur Nisbet West

Full date of marriage of 2 November 1929 from further searching in July 2025 on BDM Search by incrementally changing the date range for the marriage.

Year and country of death, date of birth, from death search on New Zealand BDM website in July 2025:
1979/26345. West, Arthur Nisbet. Date of birth: 10 June 1908

Full date of death of 25 December 1978 from further searching in July 2025 on BDM Search by incrementally changing the date range for the death.

Newly married to Josephine in the New Zealand Electoral Roll - Hamilton Supplementary Roll 1931, found in July 2025:
West, Josephine Margaret, Wilson St., married
West, Arthur Nisbet, Wilson St., motor-mechanic

Divorce granted in 1973 as per a 'Restricted' record titled, "West, Arthur Nisbet v West, Josephine Margaret", ID R22717129, found in Archives New Zealand Collections in July 2025.

Name of new wife, Nellie Rosanna West, from Will dated 23 November 1973. Will also mentioned daughter Colleen Josephine Cochrane who we have already identified.

Arthur’s new wife appears in the New Zealand Electoral Roll - Eden Main Roll 1975, found in July 2025:
West, Arthur N, 26a Burnley Tce, Retired
West, Nellie Rosana M, 26a Burnley Tce, Married

Therfore, Arthur married Nellie between 1973 divorce and the above 1975 Electoral Roll - circa 1974.

Arthur now running a Guest House, first wife living at same address, in the New Zealand Electoral Roll - Mt Albert Main Roll 1978, found in July 2025:
West, Arthur Nisbet, 8 Locamo Avenue, Gust Hus Prp
West, Nellie Rosana Maud, 8 Locamo Avenue, Housewife [New wife]
West, Josephine M, 8 Locamo Avenue, Married [First wife still on Roll at same address]?
[Note, Arthur and first wife Josephine divorced in 1975. Arthur dies this year of 1978, on the 25th December]

Date of death confirmed, place of death of "Auckland", from the Affidavit to lead to grant of Probate by son-in-law John Frost Cochrane, and dated 17 January 1979, found in Archives New Zealand Collections in July 2025.

The Connection to nzolivers:
This Arthur Nisbet West’s first wife was Josephine Margaret Bain.
Josephine's second husband was Victor Trevor Fraser.
Victor was the son of Emma Jones (1867-1939).
Emma is the brother of John Jones (1874-1955.
John's son was Frederick Clifton Jones (1918-1983).
Frederick is the father of Carol Oliver (nee Jones) of nzolivers.