Hi Alan,
Thanks for your question. My name is Josh Wells and I am a support engineer on the Microsoft Dynamics CRM support team. I have reviewed your request and I see that you are having issues connecting to the Organization service endpoint from any workstations that are not the local server.
The exception you are seeing is a pretty generic error. The first message really shows us that we are seeing the outer exception which is not too helpful.:
See inner exception for more details
We really would want to see what that inner exception is saying. What exactly are you trying to do? Are you making a SOAP call within some jscript or you have a custom application?
Since it is a SOAP request, you can try and use a tool like Fiddler to see what the response coming back is. You can find Fiddler by going to http://fiddler2.com.
If you are not familiar with using Fiddler, they have some good documentation on what to look for within that site.
Additionally, what happens when you try to access the Organization service manually from machines that are not the CRM server? Open up CRM and go to Settings > Customizations > Developer Resources. Click on Organization Service link.
If you can open the Organization service from the client workstations, capture a Fiddler trace and upload it to the forum. Just ensure you change your password for your service/authenticating account before and after doing the Fiddler traces. Let me know if you have any questions.