Is this a W.W. Oliver lathe? It's possible, but with several very telling reservations: the bed has the same widely-spaced V-ways that locate the headstock and tailstock but, instead of the saddle sliding on them as well, instead it's carried on bed's outer flat ways and vertical edge faces. The tailstock does have a W.W.Oliver "family look", with an identical spindle locking handle, though other details are very different  with a very unusual, full-length slit on the back of the casting closed down by two bolts. The headstock bearings are also different, with only the left-hand one of the cap type - the front almost certainly using some form of cone arrangement.