I think what you have is a difference in how HP/Compaq describes the video processor and how ATI/AMD describe it.
Go to this AMD page:
http://tinyurl.com/323g7v
and download the Install Verification Software. Run this on the Compaq and it will verify if you can install the latest ATI Mobility Radeon driver.
However, following the support link lower down the page, it appears that some notebook manufactures are using customized GPU's that ATI does not offer consumer support for.
As to the issue that has you looking for a driver update, I would first look for browser or plug-in issues. You might need to update Java or Flash or even use a different browser.
You did not say which browser you are using. I would try Firefox or Opera before I blamed the graphics drivers for the issue.
Chas