Most Radeon IGP laptops and desktops do indeed have TV-Out. It's just a case of finding the proper drivers to support enabling this.
Before trying anything, I'd recommend setting a Restore Point. This way, if you mess anything up, you can always restore back to that point. On the Start Menu, Programs, Accessories and System Tools you'll find System Restore and can create your own restore point there.
I'd try getting two things:
1) The Catalyst 5.11 drivers WITH Control Panel at
www.ati.com (Find a driver, previous drivers).
2) Hit
http://www.driverheaven.net/patje/ and get the Mobility Modder tool.
The Mobility Modder will allow you to use just about any ATI Catalyst drivers with Radeon IGP or Mobility chipsets. You just have to extract the drivers first, run the modder, then run the driver setup manually in the C:\ATI\Support folder.
With the 5.11 Catalyst drivers, you should have special TV-Out section in your Advanced Display Properties to enable or force the secondary/TV display.
If you have problems installing the Catalyst Drivers, you can also try:
www.drivercleaner.net
Install this and run it's Live-Update to ensure it has the latest cleaners.. But don't run it yet!
Uninstall all ATI or Radeon IGP video drivers from the Control Panel, Add-Remove Software, then reboot in Safe Mode and run Driver Cleaner Pro to cleanse any old video drivers.. then reboot into normal mode and try the 5.11 + Mobility Modder install once more.
Good luck!