It boots! But it doesn't find the hard drive, even when I enter the parameters for it.

The motherboard battery (a Dallas unit) is quite dead, but it has an external battery header, so I can hook up a few AA batteries to it via an adapter.
It's a 386SX-16 with 387 FPU and 4 MB of RAM. Since it runs, I ordered some parts for it: a 512MB disk-on-module, Dos 6 on 5.25" floppies, and an ESS-1869 soundcard.
Looking forward to discovering just how pathetic this little cacheless, 16-bit-bus 386 really is.

I'll need to replace the fan in the power supply if I'm going to be running this for extended periods of time, but I'll burn that bridge when I get to it.