Thank You for your assistance.
I have rechecked the allow_url_Fopen setting and it is "On" (enabled)
The permission looked just fine but just to make sure I changed the "/tmp" directory to "777" and it still did not work.
Also, I am not using FTP in the Joomla CMS configuration.
Since the JCE update and Joomla Core updates work on this site, I am mystified by why Mobile Joomla update is not working. Are there any Apache plugins that perhaps I have not installed on this new server that might be used by Mobile Joomla in this update . Such as JSON, etc....?
Thank You
Bob Rynkiewicz