The current FireBug Lite in CordovaSim has the following limitations:
1) When using LiveReload, the window closes with every reload
2) Various "page load" events with console.log statements are not visible in FireBug Lite console, like having console.log() in your deviceready
http://screencast.com/t/RRGhV9PV
Note: I forgot to add the Console Cordova plugin, not sure if that is necessary but the window closes, so not sure how I would see the message