We'll create fresh WordPress site with Protected Posts Logout Button installed. You have 20 minutes to test the plugin after that site we'll be deleted.
This plugin simply adds a logout button to the content of any password protected post. Sometimes clients want a password protected page to share information with privileged individuals and the default 10 days for the cookie to expire is too long for their liking. So I wrote a little plugin to do this with AJAX and set the cookie to expire immediately, well actually 10 days in the past.