Update:

There was a bit of light grease dripping from the axis 3 & 4 housing, so I opened it up..
It looks like somebody had disconnected the motor (but had left it sitting inside the housing). I bolted it back in and plugged it in. Luckily for me, they had left the 4 motor bolts in a little bag -
Looking in the hole the shaft goes through was a thing of beauty. I really admire the craftsmanship and precision in those gears & bearings. I'm getting a bit excited thinking that I might actually get this guy to move around.
Once I put that back together, the red light on axis 4 switched to green, and I was able to use the manual brake release with it.
I ordered a pendant - not sure if it's compatible, but lets hope so. (it was inexpensive).
10332-11000 REV B Manual Control III
Also ordered a VGB card - are these peripherals plug & play? Or will I need to install some drivers for them?
I did finally get some feedback from the Adept operating system - via a (9? pin) serial cable on the 030 board. (Thanks to Jim for telling me which Terminal settings to use!)
It tried to boot, and asked me if I wanted to use drive A or C. I tried typing back - but the hyperterminal software wouldn't allow me to. It may be my own ineptitude with hyperterminal - I haven't used that software since I was 10 years old... It wouldn't allow me to type anything, even on my monitor. I'm trying this using Windows XP on an old Dell laptop.
Do I have to send the information back using a different connection? I have another serial cable running from the SIO board to the panel on the outside of the case (then through a wider serial cable) to my computer's printer port, but am not sure if that will do anything. Maybe I should try Jim's suggestion - to get a serial crossover cable.
I still have the following red lights glowing on the (safety?) board - just to the rear of the MV19 controller:
D7, D33, D10 Any thoughts on what they might mean? - another gent with an older Staubli said he had a safety board ending in the number 08. This one ends with an 04. I did see a little something that mentioned jumper / test points inside the controller, but don't know what to make of it.
I also have the red E-stop light glowing on the SIO card on the controller. All the baldor servo amplifiers are green now.
Hopefully tommorow I'll figure out how to boot up the controller, and get it to tell me more. . .
I have some spare floppy disks, but no Adept software other than what's already on the hardware. I'm still not sure which version of the V+ software I should be looking for (earlier than 13.0?) Should I be looking to get this stuff from Adept or Staubli?
I keep thinking that somewhere out there must be a decent manual for the arm. I'd like to know what sort of grease to use & where the grease points are. There was at least a few tablespoons inside the motor housing. Fortunately, looks like most of it went straight to the bottom, - the motors & solenoids, ect, seemed pretty clean.
Another thing I want to look into is the correct air compressor setup - as I plan on doing dusty things with the Staubli. I noticed all the little air nozzles in the motor housing - and was very impressed.
Jim - thank you very much for your feedback, I think I might try contacting SPEAG and see if they have any old manuals or other notes for me.