The latest developments. I took the battery out; it was pretty depleted (a little more than 10VDC). Charged it until my charger said it was full. Took it to AutoZone whose checker said it was at 13.somethingVDC and "good battery." Took it back to the rig, reinstalled. Voltage across the battery terminals when installed, 13.7VDC. Voltage across terminals with truck engine running, 14+ VDC. With the generator running (output is about 128VAC) the voyage across the battery terminals is 12.8. Aha?
All fuses checked, all breakers checked.
Look like the problem is either the converter or cabling from converter to battery. Supported both by measured voltage and the fact that the rig's battery checker showed a much happier batter after the brief drive home from my shakedown cruise.
Make sense?
Rich