First two given names from birth search for son on New Zealand BDM website in May 2020:
1913/13310. Oliver, Robert Thomas. Mother: Lilly Burton. Father: Charles

Maiden name, year and country of marriage from search on New Zealand BDM website in May 2020:
1902/1433. Bride: Lilly Burton Shaw. Groom: Charles Oliver

Full date of marriage of 16 June 1902 from further searching in May 2020 on BDM Search by incrementally changing the date range for the marriage.

No record of birth could be found on the New Zealand BDM website as at May 2020.

Birth record found in England:
Name: Lilly Burton Shaw
Registration Year: 1877
Registration Quarter: Jul-Aug-Sep
Registration district: Bridlington
Inferred County: Yorkshire East Riding
Volume: 9d
Page: 342

New Zealand Electoral Roll - Wairarapa Roll 1900, found in May 2020:
Shaw, George, Waihakeke, farmer, residential
Shaw, Jane, Waihakeke, married, residential
Shaw, Jane Emma, Waihakeke, spinster, residential
Shaw, Lilly Burton, Waihakeke, spinster, residential

Year and country of death, from death search on New Zealand BDM website in May 2020:
1963/40557. Oliver, Lily Burton, died age 84Y [Therefore born circa 1879 which matches]

Full date of death of 20 May 1963 from further searching in May 2020 on BDM Search by incrementally changing the date range for the death.