Holy moly, I remember that system board, that's what was in my 2nd computer - a Flight 386SX that I pulled the old board out of and put one of these ZEOS boards in it. Supposedly they had 2 daughter-cards for the CPU, one for a 386, and one for a 486. I had the 486. This board was what got me started in vintage computing in the first place, all starting on my 18th birthday in 2001.
The CMOS battery you have is pretty much the run-of-the-mill part for that era. The only problems I've had with them aside from being dead are some that were affixed above the keyboard port - leaking acid, and then eating the data lines for the keyboard jack I've heard of some people using AA batteries wired into the old connector to replace these. Back when I lived in Alabama, I was able to source them from Southern Electronics NOS in Opelika. I don't know if they do mail order but it might be worth a shot.
http://businessfinder.al.com/973964/Southern-Electronics-Opelika-AL
Some other things about that board......It is very picky when it comes to video and RAM. I used to get NMI errors playing Ultima VI using a WD Paradise PVGA1A card, which would usually end up leaving me with a crazy neon colored mess of the VGA pallette when the game was run again. Also, I recall being able to use two joysticks with it, one on the on-board joystick port, the other on my sound card.
It can be upgraded to a 486 DX4-100 if you have a rare 5v version, or a 3.3v version of the chip on a voltage adapter. Also, the large socket next to the CPU is for the TurboCache module, which as I recall is a proprietary L2 Cache module. It adds a little bit of speed but not much. I wish I still had it, at one point, I had ALL 8 expansion slots running devices
1 - Packard Bell FM Radio CArd
2 - Packard Bell TV Capture Card
3 - TSENG 512K SVGA Card
4 - NE2000 Compatible Network Card
5 - 16550AFN UART Serial Card (The ZEOS has 8250A, I needed bi-directional for my 56K Sportster Modem)
6 - Future Domain Dual IDE Card w/BIOS
7 - Reveal Sound Card w/ CD-ROM controller
8 - Parallel Port Card
Anyway, that's enough of my reminising.