It looks like there is a newer graphic driver - so you should upgrade to that.
But, to me it sounds like overheating.
Make sure that there is no dust, so the fans can work at best.
Furthermore, make sure that your laptop is placed on a hard surface - and not like in the lap 
If it is overheating, your solution might be a cooling pad.
If your system is shutting down and not rebooting then it's overheating. This game stresses and overheats GPUs much more than any other game on the market that I have seen. Every time your system shuts down from overheating it is damaging the GPU and possibly the CPU. Maybe not severely but it's like the death of a thousand cuts. Dead is dead no matter how long it takes.
Do like panthera said. Make sure the vents are dust free, get a cooling pad. If this doesn't work then you have two choices. One, get a new computer that can play the game. Two, stop playing the game. If you choose option three (keep playing the game even though the computer crashes) then you will be getting a new computer anyway because your old one will die.
Don't count your weasels before they pop dink!
AFter logging in and playing for 5-10 minutes, CoH crashes and my laptop shuts down, does not reboot. I had the same issues before just far from as frequent, before just after hours of being logged in, this is before my upgrade from Windows Vista to windows 7. I installed CoH before the upgrade, not sure if this matter, just thought of it. Not sure what could be causing this problem, I would just like to figure it out.
Here's specs from CoHHelper:
---System information gathered by CoH Helper version 0.2.0.2---
DxDiag gathered at August 2, 2010 10:31 (-04:00)
Operating System: Windows 7 Home Premium 32-bit (6.1, Build 7600) (7600.win7_gdr.100226-1909)
System Manufacturer: Gateway
System Model: M-6888u
BIOS: BIOS Version 89.28
Central Processor: Intel(R) Core(TM)2 Duo CPU T6400 @ 2.00GHz (2 CPUs), ~2.0GHz
Memory: 4096MB
.Net Memory Report: 1900MB out of 3070MB available
Page File: 4984MB (1154MB currently in use)
C Drive: (WDC WD3200BEVT-22ZCT0 ATA Device) 133270MB out of 291930MB (45%) free
Q Drive: () zero-size drive
D Drive: (Optiarc DVD RW AD-7563A ATA Device) zero-size drive
Windows directory location: C:\Windows
DirectX: DirectX 11
DirectX Diag version: 6.01.7600.16385 (32-bit version)
Display Notes: No problems found.
Sound Notes: No problems found.
Input Notes: No problems found.
Monitor:
Monitor's Max Resolution: (blank)
Video Device Name: ATI Mobility Radeon HD 2600
Manufacturer / Chip: ATI Technologies Inc. / ATI display adapter (0x9581)
Video Memory: 1779 MB
Driver Version: 8.631.0.0
Driver Date: 6/25/2009 10:32:40 PM
Driver Language: English
Sound Device Description: Speakers (High Definition Audio Device)
Driver File: HdAudio.sys
Driver Version: 6.01.7600.16385
Driver Date: 7/13/2009 7:51:47 PM
WMI Information
Motherboard Manufacturer: Gateway
Motherboard Model: (empty)
Motherboard Product:
Motherboard Version: Rev1.91.28
BIOS Manufacturer: Gateway
BIOS Name: BIOS Version 89.28
BIOS Version: GATEWA - 6040000
BIOS Release: 20090311000000.000000+000
Registry Information for Current User
Resolution: 1024x768
3D Resolution: 1024x768 (Not using renderscale)
Full Screen: Yes
Maximized: No
Screen Position: 0, 0
Refresh Rate: 60Hz
Vertical Sync Enabled: Yes
Physics Quality: Medium
Maximum Particles: 50000
Max Particle Fill? 10.000
Physics Card Enabled: No
Anti-aliasing: Off
Anisotropic Filtering: 4x
Texture LOD Bias: Smooth
Water Effects: Medium quality
Bloom: 1.000 (turned on)
Depth of Field Enabled: Yes
Desaturation Effects (Sepia) Enabled: Yes
Shader Detail: High
World Texture Level: Very High
Character Texture Level: Very High
World Detail Level (Vis_Scale): 1.000
Entity Detail Level: 1.000
Shadows Enabled: Yes
Shadow Mode: Stencil shadows
Shadow Map Shader: High quality
Environmental Reflections: Disabled
Advanced Occlusion Settings: No
Ambient Occlusion: Off
Occlusion Strength: Off
Blur: Bilateral
Ambient Resolution: Performance
Gamma Correction: 1.000
Geometry Buffers (VBOs) Enabled: Yes
Suppression of FX When Camera Close Enabled: No
Close Suppression Range: 3.000
Show Advertisements: Yes
Audio Mode: Performance
3D Audio: No
FX Sound Volume: 1.000
Music Sound Volume: 0.600
Show Advanced Graphics Options: No
Overall Graphics Quality: 0.500
Reverse Mouse Buttons: No
Save Login Username: Yes
Transfer Rate: 343381 bytes/second
Current Game Version: 1800.201006040036.8T
Installation Directory: C:\Program Files\City of Heroes
Mod files in the Data directory
No modifications found