Sorry, I use NIS, not 360. I cannot seem to find the screen you mention where 360 shows your laptop name. Can you post how you got to that screen, and a screenshot of that page? Instructions to post screenshots can be found here
http://community.norton.com/t5/Forum-Feedback/Forum-Tip-How-to-post-screenshots-in-the-forum/m-p/254415#U254415