This is probably an Acme-brand computer. There is no battery in there. These computers usually house standard AT, ATX or PICMG boards. Basically a standard PC in a luggable enclosure, and it weights around 8-12 kilos depending on the screen size and form-factor.
The display is being fed either using a special videocard with an internal LVDS connector, or some sort of A/D converter card that connects to the videocard using regular VGA.
Basically you can learn a lot if you ask the owner to take a photo of the ports and I/O. You'll instantly know if it's AT and whether it needs a special videocard. If there's a VGA cable outside of the case that plugs into the video card — bingo, you can use any standard mobo and videocard you want. If not — there's probably a crappy C&T or Trident card inside (ATI Rage in best case), and you won't be able to replace the videocard.
Also these machines can have any kind of screen, from monochrome or passive color matrix to active color matrix. I don't think Acme had monochrome, though.It would be perfect if the owner would turn on the computer and try to move the mouse pointer around. If there's a noticeable ghosting behind the pointer, it's a passive matrix. These panels can be replaced, but it's pretty involved.