Try this out kona. This works good, stays updated and will give you current temp in your systray.The on-screen window can display all sorts of weather info as can the screensaver. You don't need to use the screensaver function if you don't use one.
YoWindow
Or, my Mother has used Weatherbug for years, it also works well. and will give you weather alerts in your taskbar or systray.
http://weather.weatherbug.com/