Is that particular computer able to get onto the internet? If so then go to Trend Micro's Housecall on-line anti-virus scanner and scan your computer. Put a check-mark in the auto-clean box.
Then download AVG Free Home Edition anti-virus to your hard-drive.
Now boot into Safe Mode by tapping the F8 key whilst the computer is starting up, choosing Safe Mode, and try uninstalling Norton 2004 in safe mode.
If it won't uninstall delete the Norton folder.
Physically disconnect from the internet (pull the connection out from the 'phone line) re-boot to the desktop and install AVG. You will be asked to re-boot.
Re-connect to the interrnet as your machine is re-booting and immediately look for updates for the AVG program.
Run a full anti-virus scan of your computer using AVG.