Just so you know up front, I am fairly new to computers, and generally only answer very basic questions. But, I had a bear of a time getting Norton off of my PC, too. (I have an HP, and Norton was "bundled" throughout the PC when I bought it.
The NRT never worked for me, either, even though it ran (unlike your problem). But this did:
http://www.askdavetaylor.com/how_can_i_ful..._my_system.htmlhttp://www.askdavetaylor.com/how_to_fully_...on_from_pc.htmlI did this a while ago; notice that the second link is actually revised instructions to the first link. In fact, the first link that I show has a link within that page to the second link that I show.
Good luck!
EDIT: I knew that it worked when my Windows Security Center stopped reading "You have more than one anti-virus", and changed to "AVG reports that it is up to date and scanning is on".