note: The DS1287 is unmodded and the CR2032 is soldered directly to the board. (The board had an unpopulated area where a coin cell battery could be soldered in place).

You can replace DS1287 with DS12885 and make sure that (+) of the battery goes to Pin20 of the IC (VBAT). There may be empty place on PCB (for diode) between those points - to prevent inverse polarity.
And for DS12885 also X2 part must be populated - it is 32.768 kHz quartz - same as used in electronic watches.

zyga64 wrote on 2019-12-27, 22:11:

You can replace DS1287 with DS12885 and make sure that (+) of the battery goes to Pin20 of the IC (VBAT). There may be empty place on PCB (for diode) between those points - to prevent inverse polarity.
And for DS12885 also X2 part must be populated - it is 32.768 kHz quartz - same as used in electronic watches.

I have tried to desolder the DS1287 but I was unsuccessful. I’m pretty much at a standstill with this machine because I cannot get the DS1287 out.

There's a solution here http://www.mcamafia.de/mcapage0/dsrework.htm

Maybe it'll help?

If you don't have desoldering station (like me) try using injector needle. Melt an alloy and put needle into the hole, rotating it. I have manual sucker pump but it simply doesn't work. I managed to desolder one side of the IC, then broke another row of pins and desolder them too. That was painful experience.

Just curious. They did a stupid thing with barrel batteries, ruining a bunch of motherboards, so proposed instead IC with a battery inside that cannot be replaced! Why not just use socket for every IC? Replaceable CR2032 lives 20 years since then. As usual, we behave wisely only exhausting all other alternatives.