Both John and Margaret's funerals were conducted by Vospers in New Plymouth
http://vospers.co.nz/contact/You could try emailing them for more information,I have found copying and pasting the cemetery records to the email assists them in searching their files
Surname: PATERSON
Forenames: Margaret
Last Address: 6 Weymouth Street,New Plymouth (Widow)
Age at Death: 85 Years
Date of Death: 15 Nov 1960
Category: Burial
Funeral Director: Vospers Funeral Home, 257 Devon Street East, NEW PLYMOUTH 4310
Date of Burial: 16 Nov 1960
Cemetery: AWANUI
Location in Cemetery: Block 02, Plot 108
Surname: PATERSON
Forenames: John
Last Address: 6 Weymouth Street,New Plymouth
Age at Death: 84 Years
Date of Death: 6 Aug 1959
Category: Burial
Funeral Director: Vospers Funeral Home, 257 Devon Street East, NEW PLYMOUTH 4310
Date of Burial: 8 Aug 1959
Cemetery: AWANUI
Location in Cemetery: Block 02, Plot 107
Cheers Janette