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It is somewhat difficult to understand, just why it is you are now chasing a record for a "Sarah Ann MILLER" (as a possible wife of John MILLER) ... when quite obviously the newspaper clipping, states that her name was "Jane"

?
As you have ordered the NZ Death Certificate for this "John MILLER", then it seems prudent to await this record, which ideally will reveal the correct name (and maiden name) of John MILLER's wife.
Have you investigated whether there is a war service record for this John MILLER, which might give you further information ? (His service number was given in his death notice).
So does the Wellington Electoral Roll give any match on a John and Saran Ann Miller in Newtown in 1938 or later in Lower Hutt in 1946?
And is there any mention of a death notice in The Dominion for Sarah Ann Miller's death on January 9th, 1947
mentioning her husband as John Miller?
Would like to make you aware also, that Electoral / Directory Roll information is NOT available online (nor is it in easily-accessed CD format). Look-ups for same can only be done at Libraries (and some other repositories) ... this also applies to newspaper death notice searches. Therefore you are reliant upon a fellow RootsChatter,
volunteering to source this information on your behalf.
Lu