I've moved your post to the Firewall topic folder.
Limewire will likely need to have ports configured in the firewall to allow it to communicate and probably also the application needs to be added to the allowed list.
Google Earth should be allowed automatically by the OneCare firewall.
To verify that the OneCare firewall is your problem, turn it off temporarily. If it works, then contact OneCare support for help in configuring the firewall to allow it.
How to reach support (FAQ) - http://forums.microsoft.com/WindowsOneCare/ShowPost.aspx?PostID=2421771&SiteID=2
-steve