If you’re using Windows 7 or Vista, look in the users directory (or Documents and Settings in XP, I think). See if you have two directories with your laptop login name, one with just your login name and one with your login name, a dot, and some sort of thing after the dot.
If you do, then your favorites (I assume your using Internet Explorer) can probably be saved.
In Windows 7 and Vista your favorites will be saved as a folder named Favorites in:
C:\Users\[your login name]\Favorites. You’d copy it from the older directory (probably without the .whatever) into the same place in the new directory.
If this is the case then finding out why Windows created a new profile for you would be the next thing to figure out.
If you’re not using any Windows at all then I probably can’t help.