Well, here's how it turned out. I dug out an old cordless phone we had. Actually it was only a year old but it got tossed into the back room awhile back. I pulled it's battery out and plugged the wires on my battery onto the pins of the phone base, then plugged in the phone base for ten+ hours. Then I took the battery and glued on a strip of velcro to it and the other side of the velcro onto part of the frame of the Beast nearest the external battery pins. I velcroed the battery to the frame when the glue was dry and plugged the wires onto the external battery pins, being careful to put the wires on the correct pin. I set the date and time for the tower and then powered down, sat a minute for suspense and then fired up the tower and to my great delight the time and date was preserved, indicating that the battery was in the circuit and charged up! YAY.
So now when the battery dies back I can un-velcro it, pull the wires and charge it with a cordless phone base. This is a lot easier than soldering another coin clip onto the mobo, especially since I find them coin batteries hard to handle and read the tiny lettering on them. But then, I'm a beat up old man and many of the current crop of Amigans are young and have healthy eyes, right? Mostly.
Now the Beast is closed up and using an NEC2A bi-sync monitor for display. Sad and small, but only cost me $14 at a garage sale. The battery cost me $12. The Beast was a feebie, so I'm doing good! Thanks for the help...