Re: Joseph Boyce & Fanny Gregson
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There are two NZ births that may be useful:
1878BOYCE Thomas William James (Joseph/Fanny Ann)
1880BOYCE Joseph Samuel (Joseph/Fanny)
The 1880 one appears promising; also NZ birth entries from c1875 included the parents birthplaces, ages, date and place of marriage - this may solve your problem.
I can check where this birth was registered and you can see if that ties in with what info you know about their time in NZ.
To get a 'printout' of the birth entry, check out
Do NOT buy a certificate - it costs more and has less information on it!!