Those are nice looking bumping tables, Jim. There were many types of machines that all did similar things to separate the concentrates, yet differed greatly in their details.
The Gilpin County Bumping Table was I believe invented by MacFarlane, a Central City-based machinist who went on to construct a sizable machine shop down in Black Hawk, served by a spur off of the C&S. There is a good description of it in the book, "Gilpin County Gold", which discusses MacFarlane's career, and in the book, "Drills and Mills" by Will Meyerreicks (pages 206-7).
Will Meyerreicks said this about the Gilpin County Bumping Table:
"The Gilpin County Concentrator... was a fine-sand concentrator using a continuous, smooth table. It was bumped about 1.5-3 inches, and from 120-180 times a minute, at the end of the table by means of a spring, cam and bumping post. The bump causes the ore to move up the slope and stratify, lighter particles moving above the more dense ones below. Water would then wash the lighter particles down slope and the heavier particles would continue up the slope. The table could treat 4-5 tons per 24 hours...Tables that used a bumping post lost favor chiefly because of the disintegrating effect of the bump on the mill building."The Gilpin County bumping table did just that, it bumped the sloped riffled table to separate heavier particles (the metals) from the rest. I am no mining engineer, but the Wilfley tables seemed to have more sophisticated motion. The local milling men seemed to all have strong opinions on what process worked best, and especially if they were custom mills, needed to modify the combination of processes used to accommodate the different ores.
Here is an image of the Gilpin County Bumping table:

And here is a row of them in the Hidden Treasure Mill:

And in another mill (I do not know which one):

As an example of how mills may have used differing combinations of machines, a description of the Randolph Mill in Black Hawk (served by the C&S and Gilpin Tram), was that it had machinery that included:
" 50 stamps, 10 plates, 10 bumping tables, and used water power. In 1914, the operating part of mill consisted of crusher, Challenge feeders, 10 750-pound stamps (53 drops a minute), amalgamation plates, 2 Gilpin County bumping tables, 6 Wilfey tables, and had electric power. Its capacity was 75-100 tons daily."
I always find the whole milling process and equipment so fascinating.