I strongly recommend you just DISABLE instead of REMOVE.  It's hard to back out of removing something, if you realize you needed whatever it was you disabled you can just re-enable it.

What OS?  If it's Windows XP (sounds like it), look in the bottom right near the clock; there is a little picture of a computer with waves coming out of it if you are wireless, or a computer with a wire coming out of it if you have a cable connection.  Right-click.  Open Network Connections.

You should get a window called "Network Connections", in which will be a number of network adapters. Right click -> Disable the ones you are pretty sure you don't need; this is non destructive so if it messes up you can back out by Right Click -> Enable.  

You will also see Repair.  If you see a good candidate that is your network card, ebnable it and try Repair, sometimes it will fix it.  At worst you can disable all of them, install your network driver again, and you ought to be okay.  Hope this helps you.

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