Inglis was actually an independant company from Whirlpool in Canada. Under some kind of agreement, the mechanics of their machines were always based on US Whirlpool (such as the belt-drive & direct-drive washer design), however they were separate corporations. Beginning in the early 80's, Inglis started rebadging some appliances as Whirlpool or Admiral occasionally. These were however, few and far between as Inglis itself had much more brand recognition & history in Canada. You won't find any Whirlpool appliances in Canada prior to this time period. Inglis also produced Kenmore for Sears over here.
In 1987, Whirlpool acquired enough shares in Inglis to have a controlling interest. It wasn't until late 2001 that they changed the name of Inglis to Whirlpool Canada and reorganized the brand line-up. Value/bottom of the line appliances were badged as Roper (we never had this before), mid-range appliances continued to carry the Inglis nameplate & mid to high-end appliances were badged as Whirlpool or Kitchen Aid (Admiral was dropped altogether).
I believe they adopted this strategy for a two main reasons. For one thing, Inglis had never been well known for kitchen appliances, that market had been dominated by GE and department store brands such as Kenmore & Viking. Secondly, Inglis had never been known for innovative or top of the line appliances in the first place. They had always focused their efforts on the value & reliability factors (the middle class folks!) rather than the sophisticated and high end market (the wealthy folks!). Obviously, to remain competitive, they had to expand their market presence to focus more attention to those lucrative areas as well and an easier way to do that is to rebrand.
I'm not sure whats going to happen now that they have acquired Maytag (and all of it's cousins). I'm sure Magic Chef and maybe Amana will be dropped in Canada but who knows...