Hello again, I uninstalled Java, uninstalled Limewire PRO 4.18.8, did the offline download of the Java you recommended installed it, rebooted, re-installed Limewire Pro 4.18.8 and all is good on the desktop it got rid of the Firewall problem. I tried all the same processes on the Dell Inspiron 9100 laptop: New Just installed 250GB Fresh install of XP PRO, 3.40GHZ, 2GB 9700 Radeon video w/ 256MB Memory, only software Anti-virus software is Avast Home ED 2010 same as Desktop. But it still has the claim of behind a firewall despite the fact there's no firewall on Router, and Win XP Pro's Firewall is turned off.

Routers almost always have built-in NAT support which acts like a firewall to block port access coming inward. I presume your router is set to UPnP so LW communicates with the router to open a listening port whilst LW is open. There is a chance the UPnP is not working properly with the laptop for some reason.

AFAIK I believe it is possible to port forward for the 2wire device just for the laptop, whilst the desktop can still use UPnP. That's guessing from port forward instructions I've seen for 2Wire. But we'd need to know your 2wire device model number.