Hi, Have you obtained the Registration of Death/Genealogical Registration of Death - this should also show the names of the parents - although - all the information depends on the knowledge of the informant - and oddly enough - many times - the spouse or children etc - "do not know" - the cost is $40 so really better spent for the Marriage Registration.where the information comes directly from the persons involved - and is as accurate - as they wish.
Cheers, Stella