Do you already have the below information?
Name HOLLOWAY, JANE DUNBAR
Details F: Died 24-10-1912: Aged 73:
Place Waikaraka
Location Area 1 Block I Lot No 36
Remarks transcribed inscription reads "In loving memory of Jane Dunbar beloved wife of Edwin Holloway died 24 Oct 1912 aged 73 yrs (verse) Also Edwin Holloway beloved husband of the above died 21 Jan 1918 aged 80 yrs And Amy Louisa their beloved second dau died 7 Nov 1944 aged 77 yrs And dau Eveline Matilda Hollway died 27 June 1955 aged 83 yrs" (Bouskill)
This is the record of her death on the NZ BMD website
1912/9436 Holloway Jane Dunbar 72 Years
Website:
https://www.bdmhistoricalrecords.dia.govt.nz/searchIf you have any problems or want to ask questions there is a contact button on the home page.
I have a New Zealand death certificate which shows the parents names but this was in 1982. From info on the net it looks as though parents were included from 1912 but not 100% sure. So her death cert may well show her parents names.
You may like to consider having this topic moved to the New Zealand board. Someone there may be able to access the details of Jane's death certificate for you.