System Agent Connection ID in Test Co. created from Live Co. Backup

We regularly restore a recent backup of our live company to the Test
Company, and all seems to be ok. However, the Test Co 'Connection ID'
in the System Agent shows:

10.0.0.6::MfgSys803TaskAgent::8303::<snipped really long hex-string>

Shouldn't the second field be MfgTestTask803, and the third be 8323?

After restoring the Live Co. DB to the Backup Co. DB, I:
1) Start the Test Co. DB and just the MfgTest803 AppServer.
2) Launch the Test Co, open the System Agent, change the Port numbers
of the Task AppServer and System AppServer to (8323 and 8321).
3) Exit Vista, stop AppServer & DB, then restart them.

Am I missing something?

Calvin Krusen