What to do in such scenarios depends on what you're trying to accomplish. It's perfectly normal to have the Exists and Visible properties True, while VisibleOnScreen as false. e.g. Any object on the footer of this page (that you don't see on the screen) as of now should be displaying such behavior. If you scroll to the footer of this page and refresh the properties (in the object browser), it'll show all of them as true.
So what exactly is this stopping you from doing?
A quick check is when "VisibleOnScreen" == false, use YourObject.ScrollIntoView() in order to scroll it up...
Also.... the object might be the wrong one, and part of another pre-loaded component that is actually not displayed (like with tabbed pages)...
Also... remember that the object VisibleOnScreen property is affected if you are checking while coding :)
