You may mean Wakanui Road, Ashburton, Canterbury

Early NZ electorals don't show females, but I did find one WARE family living in the Canterbury area.
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NZ Electoral Roll 1885-86

Name: George WARE - Contractor
Wilsons Road, heathcote, Canterbury
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Sarah BAYLISS & George WARE married in NZ in 1865

Had a daughter called

- Pamela Elizabeth WARE, born 1868

Also:

- 1866 William WARE
- 1876 James Bayliss WARE
- 1877 Francis Henry WARE (maybe known as Harry?)
- 1883 John Henry WARE

I assume this is the family you are loong for.
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This letter could be to Pamela's uncle who I assume is James, Sarah's madien name was BAYLISS (not Bayly).

There were no Bayly's living in the south Island during this time, I did find a James BAYLISS in Wakauni Road.
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NZ Electoral Roll 1800, 1886, 1890

Name: James Sr BAYLISS - Farmer
Wakauni Road, Wakanui, Canterbury
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Pamela Elizabeth WARE married John Templeton OLSEN in 1910
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New Zealand, Electoral Rolls, 1911

Name: John Templeton Olsen - Saddler
Name: Gertrude Olsen - Married (1st wife?..)
Nelson Street, Hampstead, Canterbury
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New Zealand, Electoral Rolls, 1911

Name: John Templeton Olsen - Saddler
Name: Pamela Elizabeth Olsen - Married
63 Short St, Ashburton, Canterbury
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New Zealand, Electoral Rolls, 1914

Name: John Templeton Olsen - Machinist
Name: Pamela Elizabeth Olsen - Married
Bowhill Road, Ashburton, Canterbury
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New Zealand, Electoral Rolls, 1919

Name: John Templeton Olsen - Machinist
Name: Pamela Elizabeth Olsen - Married
110 Linwood Av, Ashburton, Canterbury
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New Zealand, Electoral Rolls, 1935

Name: John Templeton Olsen - Confectioner
Name: Pamela Elizabeth Olsen - Married
452 Colombo Rd, Canterbury
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John Templeton Olsen Died in 1935
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New Zealand, Electoral Rolls, 1938

Name: Pamela Elizabeth Olsen - Widow
184 Fitzgerald Av, Avon, Canterbury
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New Zealand, Electoral Rolls, 1946 & 1949

Name: Pamela Elizabeth Olsen - Widow
Name: David Otto Olsen - Shoemaker (John's son or nephew?)
Name: Daphne Eva Olsen - Married
446 Hereford St, Avon, Canterbury

(David Otto Olsen was born in Port Melbourne, Australia around 1892 which makes me think David could be a nephew or from a 1st marriage of john's?, John is mentioned as married in 1905 living with Gertrude)
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Pamela Elizabeth Olsen Died in 1950
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New Zealand, Electoral Rolls, 1954, 1957

Name: David Otto Olsen - Shoemaker (Pamela & John's son?)
Name: Daphne Eva Olsen - Married
446 Hereford St, Avon, Canterbury
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New Zealand, Electoral Rolls, 1963

Name: David Otto Olsen - Independent means
Name: Daphne Eva Olsen - Married
446 Hereford St, Avon, Canterbury
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New Zealand, Electoral Rolls, 1969 & 1972

Name: David Otto Olsen - Retired
Name: Daphne Eva Olsen - Married
446 Hereford St, Avon, Canterbury
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David Otto Olsen died 1975
http://librarydata.christchurch.org.nz/Cemeteries/interment....
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New Zealand, Electoral Rolls, 1978

Name: Daphne Eva Olsen - Widow
446 Hereford St, Avon, Canterbury
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Daphne Eva May Olsen, Died 1988
http://librarydata.christchurch.org.nz/Cemeteries/interment....