Bruce,
In order to get a good reading you should not be disconnecting the ground wire from the coach chassis ground. It is a reference 0V ground connection that is used by the Echo Charger. All measurements are taken from the ground lead of the Echo charger connected to chassis ground (black probe). The red probe to the + battery post of the battery banks. At 14V the house set are OK.
All you need now, with all Echo Charger leads connected, Red wire to house battery bank + 14V post, Red stripe wire to chassis + battery post, black wire screw lug to frame ground, is to measure the chassis + battery post to ground. You can use the Echo Charger black lead frame connection or your chassis battery negative post for the ground measurement point, readings should be the same.
Your portable charger needs to be disconnected and wait maybe 1/2 hr before taking the reading with the Echo Connected. If that value is not 12.8 to 13.8V then your Echo Charger is defective. That voltage range is wide based on the charge state of the chassis battery set affects this value. Eventually they should be 13V+ while using the Echo Charger when fully charged.
The only other cause of low voltage is if a chassis battery is bad and you have had them tested so that should rule that out. Let us know what you find.
Later Ed