The Rolls razor was a very clever design that came in a package about 1/2 inch thick, 8 inches long, and maybe 4 inches wide. That contained the razor handle, two blades, a stone, and a leather strop.
Sharpening wa accomplished by moving the fixtured blade back & forth in a "click-clack" manner, first on the stone, then on the strop.
The edge produced by this method was probably very good for the 1930s, but no match for contemporary blades. Rolls did not (could not?) improve their design to keep up with competition, and accordingly, retired from the game.
Incidentally, the blade manufacturers have made sure that blades of contemporary manufacture can not be resharpened by any known method.
Not to be discouraged, I'm going to try the vodka method described earlier.