I shave with and Ever-Ready 1912 razor and have several Ever-Ready restored brushes in my roation. Did Ever-Ready ever offer shaving mugs? The two Old Spice mugs I purchased came with an Ever-Ready brush and a Burma-Shave brush. ( both new, unstamped, in bar code boxes) I have never seen or heard of any Ever-Ready mugs. Perhaps for the good reason, they never made any.
That doesn't sound likely, however one can't say for sure. At different periods Case and Kropp, both razor brands, had mugs but I have never seen a Ever ready mug or heard of one.Authentic advertising mugs are much wanted by mug collectors but they are kind of scarce. A mug from the same time period as your razor is easy to find, just look under " shaving mug" on ebay .