Hello Frances,
Here are two records that may or may not have anything to do with Archibald:
An Archibald McNaughton, merchant, died in Montreal in 1898 aged 83
There was an Archibald McNaughton who was Captain of the "Buckingham Infy coy" in 1863 listed in the Volunteer Militia Infantry and Rifle Corps in the database:
Canada, Militia and Defence Forces Lists, 1832, 1863-1939
Otherwise, while trawling through the 19th century newspapers looking for an Archibald
Cameron, I came upon this interesting tidbit which is now entirely beside the point, but I can't resist posting it (I was going to suggest that Archibald was probably still alive

):
Provincial Intelligence .
Caledonian Mercury (Edinburgh, Scotland), Tuesday, March 25, 1856; Issue 20746
ABERDONIAN LONGEVITY. – Dr Webster, of the Scottish Hospital, London, in a work on Scottish longevity, has some interesting observations on the longevity of the residents of Aberdeenshire. Longevity, he says, "is one of the characteristics of this part of Scotland. This may be shown, irrespectively of any data detailed in subsequent paragraphs, by the well-known fact that many speculators on the London Stock Exchange have often selected aged inhabitants living in the neighbourhood as lives upon which to purchase annuities; by this process considerable sums of money were once gained at the expense of Government, and a former Chancellor of The Exchequer was not a little mystified. At length some check was put upon these gambling proceedings, heavy losses having been entailed on the public revenue from the unexpected vitality of numerous annuitants resident in this northern district. He gives the following remarkable instances: – "The longevity of the Aberdonians is not an event of the present period. A soldier named Alexander M'Culloch, who served under Cromwell, and in the three following reigns, died near the city in 1757, at the age of 132 years. Donald Cameron of Kinnichlabar, in Rannach, who married when 100, died in 1759, aged 130. Another person of the same clan, viz., Archibald Cameron, a piper to seven Lords of the Isles, during the long period of 94 years, died at Keith, in 1791, aged 122 years. A woman named Catherine Brebner died near Aberdeen in 1762, at the age of 124; while another female, named Mary Cameron, but whether any relation of the two Camerons above reported, does not appear, died at Braemar in 1784 aged 129 years."
All the best,
Sarah