Stubborn broody, and integrating my mixed age flock.

I have a very stubborn broody White Rock, who has been broody for almost 8 weeks now. It started when I first brought our chicks outside into a small pen next to my two hens during the day when they were 4 weeks old. They are now 11 weeks old and out in the big coop. I still have not integrated them with my two 1 year old hens and my other 5 POL hens.

If she's still broody can I introduce her to the young ones? She has not seen the little ones in weeks, but still hasn't snapped out of her broodiness. I would want to put her and the other hen (a Partridge Rock) in at the same time. I have 8 younger chickens, 7 pullets and 1 cockerel; they are getting to be a good size, but are still not fully grown. I have three different pens right now; a full size coop, a smaller quarantine pen and a tractor. I'd love to get everyone into one coop!

Should I introduce the two adult hens first, then the 5 younger hens, or put everyone together at once? Should I wait a few more weeks for the pullets to get bigger?