Vic,
If memory serves (sometimes faulty) it is the Bowker, built by Baldwin, and owned by the Virginia and Truckee RR.
A model of this loco has been produced for years by IHC, or AHC, or whoever they are. It isn't a great model. They used the drivers from their 4-4-0 (too large), ignored the interesting valve gear you can seed in t's photo, and although the cab on the model is interesting, it bears little resemblance to the photo. (but perhaps the prototype cab was wrecked and rebuilt, or something.)
Oh, and t, to answer your other question, I'm sure there were other 2-4-0's built, but doubt if it was ever a popular lashup. Many RR chief engineers mistrusted two-wheel pony trucks --- which is the prime reason the 2-6-0 never approached the popularity of the 4-4-0 and the 4-6-0.
Bill S