Brian: Thanks for walking me through this. I've detached the skeleton already, so I'll practice deleting IK Targets another day...and it's early in the morning here, so I'll re-bone Beast tomorrow. As I understand your method, it's an IK Chain that simply by-passes the knee? And the Axis Joint/Ball Joints? Do I recall finding those in the Properties Tray?

When the skeleton was detached, the eyeballs re-appeared in their proper place. They had been dragged down a bit on the Z-axis, and slightly forward. Since I could see them in the Sequencer, I selected them, and could see the bounding boxes. Also two latches on one of the saddle bags [forward of the white console] had been floating in the air. They too returned to their place. I suspect that had I noticed them in time, I could have restored them by adjusting influences. I'm sure they were being dragged on by another bone. Maybe that lower jaw.