I moved the site from an IP address to a dev site I maintain, and have changed the fields above for the site, now under patdevelopment.com.
I am still having the issue with no images showing available to select, but I can enter the name string, and when I do a save, the image appears in the icon box.
The site has the SSL turned on for the entire site, and the issue has been the same between the IP address and the domain name. The JCE media manager works fine looking for images into articles, but there is an issue with Joomlart modules. Or Joomla modules, such as Search.
Could there be a conflict with the JCE?