It may pay to purchase the death printout for David to find where he was born,
this is the information on a death printout
Deceased
When and where died
Name and surname
Rank or profession or occupation
Sex and Age
Details of Death
Cause of death
Duration of last illness
Medical attendant by whom certified and when he last saw the deceased
Parents
Name and Surname of father
Name and if known maiden surname of mother
Rank or profession or occupation of father
Burial Details
When and where buried
Name and Religion of Minister or name of witness of burial
Birth Details
Where born
How long in New Zealand
Marriage Details
Where married
At what age married
Children
If living issue, the number, age and sex
To whom married
Informant
Signature, description and residence of informant
If the entry is a correction of a former entry signature of witnesses
Who witnessed the correction.
Registrar
Signature of registrar
Date of registration
If you follow the instructions here you can purchase it and have it emailed to you
https://bdmhistoricalrecords.dia.govt.nz/Search/Search.aspx?Path=%2FqueryEntry.m%3Ftype%3DdeathsCheers Janette