I'm thinking if you go to the NZ board some kind person my be able to lookup one of these probates (wills) on Archway NZ
Auckland probate
ROE Daniel - Thames - Retired Farmer
or
Intestate Estate
ROE Daniel - Nishtown, Thames - Miner
or
Originating Summonses
Daniel Roe, deceased, Nishtown, Thames, Miner - his estate; Plaintiff: Thomas Roe, Auckland, Settler; Defendant: Patrick Ryan, Waikumete
Does he have a Thomas Roe decendant or a Patrick Ryan (That would narrow it down again)
Do you know if he was a farmer or a miner?
Hopefully his papers might have more birth details on them (a peak could be free)
Have you got his NZ death certificate printout, might name his parents, the printout is cheaper than a certificate from NZbdm