Weather information is show based on your device gps.
You can download "apk" file from following link.
This application is just for personal use for test.
Please change your device setting according with following explanation site, if required.
3 Ways to Install Applications On Android Without The Market
Install apps outside of Google Play
How to install apps outside of Google Play
If you tap on the widget, you can see "Link", "Weather Forecast" and "Setting" display.
"Weather Forecast" Display.
You can find more application for android in following pages.
I'm working on iPhone application, but it will take several weeks to finish.