Well the buckets sprayed with bee killer seems to have done the trick.  There were a bunch of dead bees around the entrances and I am hoping that some bees that had been coated with the poison returned to the underground core of the hive to spread the poison to the queen.  I have dumped dirt over the two entrances and soaked it with water.  I’ll monitor the two spots for the next several days to see if new entrances appear.

Thanks for you comments on the previous two posts, I appreciate the input.