NoScript is not installed.
Jusched.exe is not running.
I was able to view You Tube videos with IE after enabling the add-on in 'Toolbars and Extensions' named "Shockwave Flash Object".
I was able to view You Tube Videos with FF after enabling 'Accept Cookies from sites' in the 'Options' settings under the 'Privacy' tab.
As far as I know these are the only changes I made to get the videos to show. They are playing fine now with both browsers.
Sorry for the confusion in this thread. I posted information that he gave me that I now believe was inaccurate. I know not to depend on him for facts again!
Thanks to everyone who helped.