You might find some names of family members from these sources:
1.His obit was in the New Zealand Herald.I didn't find the exact date of the newspaper clipping, but he died on 7 Feb 1979, his remains were cremated on the 9th and the burail of his ashes occured on the 12th at North Shore Memorial Park (Schnapper Rock).
NZ Probates: Name BAUGH Frank Edward Place Auckland Occupation Draughtsman Court Auckland Archives Reference BBAE 1570 0761/79 Probate Number 0761/79 Filed Date 21 Mar 1979
3.Funeral Home, website athttp://www.morrisfunerals.co.nz/about-h-morrishttp://www.morrisfunerals.co.nz/about-h-morrisBe sure to ask who paid for the cremation/funeral, as it is normally a family member.Was there a book of rememberances, etc.
4.Cemetery:Email to see fi they will share any information they may have.Probably nothing that beyond what you'll get from the funeral home, as their website says "All information here is supplied by funeral directors and families"firstname.lastname@example.org No other people with the surname Baugh in the same cemetery.