Thanks for the offer, DJ.
So I looked up an old buddy of mine that I lost touch with the past couple of years -- this guy cut his teeth on '70s - '80s electronics. He knows electronics, electrics, hydraulics, hydraulic-electric, machining, used to build racing boats/engines, the list is nearly endless. He's been invaluable to me for years with problems in my shop with the desktop, EDMs, CNC, although he has (had) no specific knowledge on those machines.
So I took the board to him today, he looks at it, gets his gear out and starts to de-solder (?) the connections, sucking the molten solder off with some special copper woven cable. Gets it all off, flips the board over and gently pries the battery off. It moves easily and then basically drops off but the pins in the back did not move.
We did not look at the new battery first, so come to find out, those pins are hollow and are fastened to the board; the three pins from the battery just slide into them. No soldering or de-soldering needed! We both got a good laugh over that. So the new battery is in, but I haven't put it back in the mill yet, will do it tomorrow.
Maybe this will help someone in the future who thinks the battery is soldered in, if there's anyone out there still working on these antiques.
Click to expand. Those three pins are the hollow pins that are fastened to the board:
Attachment 494218
The battery just slides into those hollow pins from the other side:
Attachment 494220