First given name from birth search of son on New Zealand BDM website in April 2021:
1887/10403. Thompson, Lawrence James. Mother: Mary. Father: James

Initial “M” of second given name, estimated year of birth, date of death, place of burial, found in April 2021 from Greytown Cemetery records, Block 11, 687, Plots 115-116:
In loving memory of JAMES THOMPSON died 17th January 1937 aged 82. At rest.
MARY M. THOMPSON died 16th May 1959 aged 90. At rest.
In loving memory of IDA MAUDE THOMPSON died 28th April 1956 aged 67; also
LAURENCE JAMES THOMPSON died 13th November 1968 aged 81 - loved parents of Aileen, John and Vera.

Full second given name, maiden name, year and country of marriage from search on New Zealand BDM website in April 2021:
1884/3703. Bride: Mary Maria Thornton. Groom: James Thompson

Full date of marriage of 29 July 1884 from further searching in April 2021 on BDM Search by incrementally changing the date range for the marriage.

Date of birth, date and place of baptism, name of parents, from baptism records found in June 2021:
Name: Mary Maria Thornton
Gender: Female
Birth Date: 1 Jul 1868
Baptism Date: 26 Jul 1868
Baptism Place: St. Swithin's, Lincoln, England
Father: John Baker Thornton
Mother: Emily
FHL Film Number: 1542064
Reference ID: v 11 p 64