Thank you, everyone, for your replies.
To GReynolds929... Water temp is set at 130 (we have not changed that from when we moved in). We did as you suggested - shut the inlet valve at the water heater. Opened a faucet to hot only. (Note that the water heater is in the garage on a wall that backs up to the master bath. We assume that the water flow is to the master bath first - tub is closest to the source - before flowing to other parts of the house.) The water slowed down to a very low flow in the master bath but never totally stopped. Just to be sure to completely empty the lines, we opened all hot water faucets; still had the very low flow occurring in the master bath. We opted to keep the faucets opened when we turned the inlet valve back on, to make sure any air got out of the lines. Interestingly, the master bath tub water got very hot while the sinks in the same room stayed ice cold. It wasn't until we turned off the master bath tub that the sink water turned hot.
We have searched EVERYWHERE for a crossover valve for using the cold water line to recirculate water back to the heater. We can't find one anywhere. We have been told that there is not a dedicated return line in the house, but I'm starting to wonder. All I know is that first thing in the morning, when no hot water has been in use, I can turn on the faucet in the bathroom furthest from the heater, and I have hot water in about 4 seconds (I actually timed it this morning).
Breplum, the dip switches set to external circulation is the way it was set when we moved into the house. And EVERYTHING WORKED FINE for the first 8 months that we lived in the house; so, something else has changed (or broke).
One last comment, on seeking professional help. We have been badly burned in the past with service technicians "taking" us - saying they did one thing and charging us an arm and a leg, just to find later that they didn't do what they said at all. We now try to research things on our own first. Believe me, we would never attempt anything of a very technical nature. But dip switches, parameter settings and changing a valve or two are pretty simple to tackle on our own before we call in the big guns. We know the "bad" technicians are the exception, not the rule, so we try not to lump everybody in the same basket.