Shields up Stealth mode simply means it can't detect anything due to a firewall or other.

Make sure UPnP is enabled on the 2nd LW. Try running LW on the laptop on its own. Make sure firewall is configured on lap top to allow LW!

Whilst using the laptop, do this simple test for us. Using your browser go here: http://www3.limewire.com:6346/ The page should say 'Your test worked!'. What happens when you go there?

Run in UPnP if possible! Port forwarding is more complicated since you need a static ip & need to forward a totally separate port to the 2nd comp to the 1st!!! eg: if you forwarded port 6346 on the desktop then you'd need to choose a different port for the laptop!