This job is finished!! I went this evening and checked on all the bees I smoked into the hive and most of them were still in the box. There was about a soccer ball sized clump of bees still on the log so I sat down, smoked and watched, smoked and watched for about 30 minutes. Slowly but surely, they marched into the hive. Finally, most were in the hive and they started to quiet down and I put some screen on and brought them home. Since my house is only about a mile, as the crow or bee flies, I but some foliage in front of the entrance to make them reorient. I'm not too concerned about that because the surroundings of my back yard and where they came from are very different anyway. I put a quart jar of syrup on top and came in for the night.
Now what? Well, I think my plan is this. I do not know if the queen is inside this box, but there are too many bees for one deep, so tomorrow, I'm going to add maybe a few frames of brood (probably more young larvae than capped) and honey into the bottom deep. I'm going to shake the frames off before I put them in there because there are plenty of bees there already that can take care of them. Right now, they have nothing but frames and foundation, just like a package. Then I will add a top deep to give them room to move about. If they continue to hang around, I will go back in a few days to check to see if they are drawing some comb and if they happen to be trying to make a new queen. I will also look for signs of an existing queen. What do you think?