For anyone that is having a problem with the weather docklet reporting the days incorrectly (for instance, Friday would list as Today, Tomorrow, Friday) we have an unofficial temporary workaround that you can try.
Close down ObjectDock so that it is not running.
Open the folder where ObjectDock is installed (typically C:\Program Files\Stardock\ObjectDock) and find your 'stardockweather.ocx' file. Right click on it and select 'Rename' and rename it to 'stardockweather.ocx.bak' so that you can keep your original file preserved in case something goes horribly wrong.
Download this replacement stardockweather.ocx file:
and save it to your ObjectDock install folder (C:\Program Files\Stardock\ObjectDock). Open up ObjectDock and check the weather docklet. This may not work for everyone as it is a temporary workaround.