Surviving from their inception in 1893 until 1939, the American Watch Case Company was based in Manhattan, New York,  and specialised in the manufacture of fine-quality gold pocket watch cases. Lathes must have been a sideline for the Company - or perhaps were a bought-in item - for only one is known to survive. Of around 3-inch centre height and 6  inches between centres the lathe was of unusual construction with a flat-topped instead of bevelled-edged bed and a compound slide rest with the cross slide (and not the top slide) appearing to be mounted on a swivel. The lever for the headstock collet closer was also in an unusual position - pivoting beneath the headstock pulley and connected to a bar that passed through the left-hand wall of the headstock casting.
More details of this very interesting machine in due course. If you have an American watch Case Company lathe the writer would be very interested to hear from you.