First, try loading up the widget so it appears to be running, then hit F10 a few times.
And if that doesn't work...
Here's something else you can try. Open DesktopX Builder to an empty desktop, and
import the Live Weather II widget.
From the Desktoptab of the Settings Panel, or by right clicking icon in systray, you can get an object list.
On that list find the object with ObjectID "grp_smallweatherBase"
Check in the X and Y columns of the Object Navigator list, and verify that those X an Y coordinates should place the object on screen (not negative, not higher than resolution). Also check these numbers for the "weather_back" object. You can edit these right there on the list.
Finally, if those should be visible and just aren't, double click the objects to open Properties and verify Visible: Yes is selected on Relations tab.
I have had all of these help in somewhat similar situations!

Hope one works for you.