I have boiled the process down for setting up the computers and most seem to be working as far as WMI connection is concerned.

Yet there are those few......

All of the machines have a common username and password.
Here is the process I'm using:
1) run the following command line:
netsh advfirewall firewall set rule group="windows management instrumentation (wmi): new enable=yes

All this does is set up the client machine's firewall; both the WMI exception and the ports.

2) edit DCOMCNFG / COM Security settings as follows:
- Access Permissions Edit Limits and Edit Defaults .. add the common [username] with all permissions.
- Launch and Activation Permissions Edit Limits .. add the common [username] with all permissions.

This seems to work on most computers.

And, after talking with Support and getting a document to read, I've since tried this:

Open WMIMGMT.MSC 
Open Properties of WMI Control (Local)
Added the [username] for WMI in the Security for ROOT/CIMV2/Security and give all privileges.

Open gpedit.msc
  Computer
    Windows 
      Security
        Local
          User Rights
            add the [username]

I also ran the equivalent of :

netsh firewall set service type=REMOTEADMIN mode=ENABLE profile=all 

The error persists.  

Any suggestions?  What have I left out?