If it's wireless, check the battery compartment, if it uses a mouseball(Do those even exist anymore?) Take the ball out and look in that compartment. If all else fails, look at the base of the cord(If not wireless) it may be printed there for some god-awful reason. If it's not in one of those places, it's probably those faded words you saw.
-Huzzah!
EDIT: Also, if you know how to navigate your computer using only a keyboard, try opening the devices and printers folder in your control panel, then unplug the mouse and see which one disappears. The model number should be listed there once you determine which item it is. (You may have to restart your computer for it to register the mouse again in some circumstances.)
Not to be rude but,,, nice to see you actually read all of the posts. See below
My mouse wheel seems to not zoom in and out for some reason ( I don't have a fancy mouse its just a standard Digital Mouse with Left button, Wheel, Right Button )
The word digital is incorrect there though - it is an optical mouse.
As far as wireless, I don't ever use wireless. I tried a wireless keyboard and mouse setup a few years ago. Worst experience ever - wireless devices can have their signals interfered with far too easily.
I had already tried unhooking and reconnecting the mouse. However the only thing it says is ' HID-compliant mouse '
Overall I gave up on finding specific drivers. HP is notoriously bad about using crappy parts from random companies. It can be nigh impossible to track down specific drivers for anything that comes with an HP ( with the exception of the more important components such as the Video Card, CPU, and Ram ). I am glad I had a system custom built for me in 2009 to get rid of that HP [ i passed it down to my girlfriend since it was better than her old one ].
** Anyways, no more discussion on the mouse issue. Just SoaSE strategical information please :