To follow up with post #538 above...the Elgin is at a shop in Cameron Village in Raleigh. I went to my usual jeweler, who is a few years older than me - I'm 53 - and he took one look at those pocket watches and said, "You are going to have to take those to my dad." I'm thinking, "Good grief, man, how old is your dad???" It was a little tough to find the shop, but I walked in and found this rail-thin, tall gentleman with snow-white hair. Turns out he was a watch inspector for the Baltimore and Ohio railroad!! Also turns out it's expensive to have these watches gone over, so I only left the Elgin with him.
Before I went to bed the other night, I unscrewed the back from the New York Standard watch, just to peek inside. I could see the flywheel quivering, but it wasn't running (of course). I could also see the reserve indicator was all the way full - well, you could also tweak the knob and feel that it was wound all the way. I've messed around with mechanical clocks before, and the first gear after the mainspring has the least torque and is the easiest to move. I thought, what the heck...and gently probed around on the first gear in the watch, applied a little pressure...and the watch took off running! Hot dog! I set it, took these movies, put the back on...and three days later, it's still running. I'm having trouble unscrewing the front (I can see the seam), which I would like to do to be able to clean the front some, but otherwise I would just leave it as-is.