Don't despair, Curt. I know what happened.
That's not the way to hide the icons on the desktop.
You can't go to their properties and choose "hidden". That makes them be really hidden.
What you have to do, is choose an option that will allow you not to show any icons on the desktop. But they'll be there, and not hidden.
First of all, let's get your icons back

Go to "my computer", and select "tools -> folder options". On the new box that comes up, select "view". Then, search for an option that says something like "show hidden files". Check that, select apply and close the box. That'll make your icons come back, "blured". That means they are hidden. Just go to their properties, and deselect "hidden".
Then, do the process i mentioned above again, and deselect the option "show hidden files".