Strange fruit

There have always been inconsistencies in my birth story. The dates, the people involved, the actual circumstances. All missing, suspect or manufactured.
As an adopted person I have no legal right to know anything other than the story my adopting parents chose to tell. So I decided to challenge that.
I started with govt.nz, the guide to finding and using government services. Could it really be as simple as requesting a copy of my ‘pre-adoption birth certificate?’