Yes, the entire lot of 5000 pistols purchased by the Canadian Government were commercial production, with C-prefix serial numbers. Matter of fact, non-commercial production was allocated totally to filling the US Government contracts - a process which hadn't really gotten under way until 1912.
As a result - as you can hopefully tell from my photo - the Canadian pistols had the top quality high polish, beautiful fire blue and finely checkered walnut grips of the standard commercial model pistols.
If you know the identity of the original owner - and hopefully can confirm his military service during WWI - it should be possible to locate his Canadian Expeditionary Force (C.E.F.) "Attestation Papers" at the web site of Library & Archives Canada (i.e. former National Archives of Canada) - where scans of hundreds of thousands of such documents are readily available online! What's more - from there you can use the archival information given for each such individual to order a copy of his entire C.E.F. personnel record, if you are so inclined!
The specific URL to go to start your quest is:
http://www.collectionscanada.ca/archivianet/020106_e.html
Once there, after reading the introduction, you'll need to click on "Search the database" and enter the man's name (try his first initials as well as given names). Another bit of information the form calls for you to enter is "Regimental number" - you can search without it and, if the man was an officer, he wouldn't have had one, anyway.
Virtually every person who served in the C.E.F. is listed (though the attestation papers of some are not yet available online) - with archival reference numbers from which the service record can be ordered.
I have done this already for a Webley revolver I own, which is engraved with a WWI Lieutenant's name - i.e. obtained his entire CEF file. I haven't yet ordered the whole file for the Major who owned my Colt 1911, but here are his Attestation papers:
http://data2.archives.ca/cef/gpc011/501967a.gif
http://data2.archives.ca/cef/gpc011/501967b.gif