Underwood Typewriter Company
The first typewriter was called the "Sholes & Glidden Type Writer," and was produced by the gun makers E. Remington & Sons in Ilion, NY from 1874-1878. Sholes was working on a machine to automatically number the pages in books when one of his colleagues suggested the idea might be extended to a device to print the entire alphabet. The prototype that was sent to Washington D.C. as part of the patent process is stored in a vault at the Smithsonian Museum. (From The First Typewriter website.)
People working in the office of Underwood Typewriter Company. Note the sign at the back of the office that states "The machine you will eventually buy."