Hi again...
Just thinking out loud :-)
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BDM NZ has an 1882 death for Anne BOUCHLES
1882/5537 - BOUCHLES, Anne - 36Y
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The electoral roll index for the previous year (1881) lists a John BOUCHLES, living in East Gore.
New Zealand Electoral Rolls Index 1881
http://www.findmypast.com.au/index/dwilson_1881nz----------
CONS:
The above age at death is wrong by two years, assuming the age for Anna (28 years) listed on the Palmerston passenger list is correct.
The surname is wrong.
PROS:
John (Johann) and Anne (Anna) BOUCHLES (BUCHOLZ)......hmmmm
Gore gets a mention.
There is an 1882 death.
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I'm visiting the library over the weekend so, as TwiggyTree suggested, will look on the 1882 Deaths microfiche for Anne BUCHOLZ and variants.
Regards
Beg