Thanks for responding so quickly. The Maxtor drive has its own power and, even so, I am plugging it directly into the laptop. (Plugging it into the docking station results in the same error. Just as well, since I am out of ports on the docking station.)
What I have noticed since I posted this: If I unplug the docking station from its USB port and then plug the USB drive into its port, then Windows recognizes it. Then, if I re-plug the docking station into its port, Windows still recognizes the USB drive. So, I guess I have a work-around. If you have any other thoughts, I would like to hear them. If not, then at least this post might help someone else.