Nice job! First post and you get a spreadsheet vise right out of the gate.
The Illinois Iron & Bolt Co. was established as an iron foundry and blacksmith shop in 1864 by Angelo Carpenter in the town he platted,
Carpentersville, Illinois. In the era of your vise (1880's-1900's), the II&B Co. was manufacturing: cast & steel wagon skeins, hydraulic presses, blacksmith tools, vises, anvils, jack screws, sad irons, clothes reels and lawn ornaments.
Carpentersville, until last year, was where the Wilton Machinist, "C" series and Tradesman vises were machined, painted and packaged and for many years.
Your vise, although rare, is out there. I've seen one other flavor of the II&B woodworkers vise, which is shown in the photo's below, with a 1895 catalog scan.