IIRC the Winchester 37 shotgun made in Canada was just a re-badged Cooey....not a "made in USA" Winchester 37 at all. Winchester bought out the old Cooey factory and business in Coburg, Ontario in the 1960s. The Winchester primers of "the day" sold for a bit less than the Remington primers as the Feds likely considered "Winchester Canada" as Canadian company for tax purposes. They even assembled an el-cheapo version of the Winchester Model 70 rifle in Cobourg Ontario, called the Model 71.
My first shotgun was a 20GA Cooey single shot, bought as my 16th birthday gift to me - March 1961 at Art Guilford's gun shop Toronto - on Dufferin just north of Eglinton. I had lots of 'go to' interest from Keith, Cooper, Sell, et al, in Guns & Ammo magazine, but that full choke (and lack of $$$ & instruction) sure held me back for a long time.