I'm getting psyched up over the imminent release of GW, and I would like to set up a LAN at home for two player GW goodness. However, both PCs are not created equal. One I'm sure can run the game perfectly; AMD 3200+ Processor, Radeon 9800 Pro, 512 megs of RAM etc etc.

The other... well. Playing the BWE on that was kinda... painful. It's an older beast sporting a 1.2 GHz processor, 256 megs of RAM and a GeForce 3 Ti 200 card.
It was an upgrade I got to play WarCraft III

I know this second PC needs a boost, and the general consensus I seem to be getting is that RAM may be the big issue. As this is a secondary PC, I don't want to dump a lot into it, money wise. Would another 256 megs of RAM make a huuuge difference, or do I need a better video card?
Also... I have long since lost the documentation for this older system, and I really don't remember much about the motherboard or anything. Is there any way I can tell what kind of RAM it supports, and what kind of RAM I have in there?
Thanks in advance!