This page from a 1905 ted Kennedy brochure describes a glove with a patented laced lining that can be taken out of the glove. It sounds like the King patent but precedes it by 5 years. Since it is described as patented, there would need to be a record in the patent office.
The only patent applicable is the 1905 J.A. Peach patent shown below. I thought the snap closure was integral with the patent but the patent states any suitable means could be used to connect the inner and outer glove, including lacing.
The Peach glove below has the snap buttons but looks similar to the Joe McGinnity glove with the buckle and strap positioned well up in the wrist opening.