EOHenry: I realize I did not answer your question only provided informaiton. My recommendation is as follows IF you need to make a split from an existing colony and grow a new queen.
1. Once the hive has built-up to sufficent strength remove the exsiting queen along with three frames of brood; one or two can be capped; one frame of honey and one frame of pollen.
2. Place then in a NUC
3. Shake nurse bees for two or three other frames onto these five frames in the NUC
4. Place in alternate location then original hive
5. Make sure that you have open brood in the original hive that has new eggs so that the nurse bees can generate a new queen. THIS IS CRITICAL.
6. Replace the five empty frame in the original hive with frames of fundation.
7. Feed both the new and old hive with 1:1 sugar syrup (I personally add Honey-B-Healthy to the sugar syrup)
8. Old hive will create a new queen cell within 10 days and you should have a new mated laying queen within 3 weeks.
Hope this helps...