I tried running tw1 on a following configuration:
P4 @ 3ghz (prescott core)
3gb of ram (ddr1)
nvidia 6800 gt with 256mb of vram, last drivers
resolution 1280x960
windows xp 32bit, sp3
All settings at medium, AA, filtering effects turned off or at minimum.
it runs at a very acceptable level, certainly playable even with many opponents on screen.
Comparing that to my current rig I'm playing at
core2quad 8400
8gb of ram
nvidia 450 gts, 1gb vram, last drivers
1920x1080
windows 7 pro x64
All settings are at max, no stuttering, no slowdowns, not a frame lost at all times, slowly finishing chapter 2 and had no problems with it whatsoever.
Seeing that it runs on these 2 vastly different systems, I really think that your rigs must run it like a charm... do check up on antiviruses and cooling issues