Wendy
Sorry to hear you have been unwell. I hope you're feeling better now, or on the road to recovery if not better already.
I see what you mean about Linart instead of Smart. I read it as Smart and it could so easily be Linart. I am inclined to think it is Smart though. In 1880, on the registration, he was residing in Waimate.
Archway has a Joseph Smart applying for Clerk of Works job at Waimate Hospital in 1878. I also found there is an Inward Letters and Registered Files from the Resident Magistrate in Waimate in 1883, subject - Charles Bateman appointed Bailiff vice Joseph Smart resigned. In 1892 there is an application for employment in Lyttelton. In 1913 there was a Coroner's Request file in Canterbury for a Joseph Smart. This Joseph is in NZBMD folio 1913/4623. Archway have no mention of a Joseph Linart. In searching on google I found Linart is a New England name.
Family Search have probates for 2 Joseph Smart's, one a Police Constable from Queenstown [1916] and the other a Brickmaker from Devonport [1905].
And checking my Kiwi Index from NZSG there is a Joseph Smart married a Victoria GAIN in 1878! I got her forename from NZBMDs, folio 1878/1485. In 1893 in the Women's Electoral Roll, Victoria SMART lived in Jackson's Road, Lyttelton. I couldn't find probate for Victoria SMART.
Looking at Papers Past I find Victoria died 7 January 1913
https://paperspast.natlib.govt.nz/newspapers/TS19130107.2.34?items_per_page=10&query=%22Smart%22+victoria+joseph&snippet=true She is buried in Sydenham Cemetery, Christchurch. The Joseph died in July 1913 is buried elsewhere so he may not be her husband. Now to find Victoria's husband.
Jeni