Oh. I am sorry about that. I found the Cookies Toolkit.
I followed your directions and when I tested the LogOut function, it did not clear out the session. Instead, it redirected me to the LogIn page. In addition, the show region on the login page (outlining that the session is still active) was showing.
To give you some background info...I made sure that the page access rules were correct. The page access is redirecting to the Admin/users_LogIn file in case their is an access error.
I have attached my logout file for your review. Please let me know if you need anything further from me.