In the spring of 1843, Archibald and Margaret welcomed their third son, Archibald, into the family. Eighteen months later on 10 October 1844, little Archie died of bowel trouble. This information is found in The Life of Archibald Gardner, by Delila Gardner Hughes. I have made an attempt to document Archibald's death information, but clearly there were no records being kept in this pioneering area of Canada at the time. What I did find was the following:
The Alvinston Cemetery
"The first cemetery in this vicinity comprised a plot of ground on the west side of River street, just south of the Alvinston brick yard. About 1854 this piece of land from lot 19, con. 7, was donated to Brooke Township by John Gorsuch, although no formal deed of transfer was ever recorded. Prior to this time some burials had already been made. It is believed that an infant child of Archibald Gardner may have been one of the first buried in this spot."(1)
River Street is on the east side of Alvinston, and the cemetery is to the southeast of town. I have added a marker on my Google map to show the location to the best of my knowledge.
1. Sara Leitch Campbell, Brooke Township History (1833-1933) (Sarnia, Ontario: Ontario Genealogical Society, Lambton County Branch, 1995), 114.