First given name, date and place of death, estimated year of birth of “circa 1818”, from from Avonside Christchurch New Zealand cemetery records found in July 2020:
Row B, 14.
David Wilson HAMILTON, born at Ashford, Derby, England 9 Feb 1823, died at New Brighton 29 May 1887. And his wife, Martha, died at Lyttelton 5 Nov 1856 aged 35. Handley, died 7 Aug 1855 age 7 months. Handley, died 11 Oct 1856 aged 5 months. Sons of above. And his second wife, Elizabeth, died 11 Sept 1873 age 55. Frances, died 25 Jan 1899 aged 61.

Maiden name, year and country of marriage from search on New Zealand BDM website in July 2020:
1860/3650. Bride: Elizabeth Wilson. Groom: David Wilson Hamilton

Full date of marriage of 29 March 1860 from further searching in July 2020 on BDM Search by incrementally changing the date range for the marriage.