We've never had a broody hen in the two years we've had chickens, so I have no words of wisdom there.
This morning was interesting. We decided to clip the flocks wings as the rooster has been getting out of the fenced area. Clipping wings is pretty easy, but catching the buggers was not. We thought we had it down pat, letting only one out of the run at a time, but of course, one managed to get out without being caught and it took two adults and a dog a good 10 minutes to catch her! We had to herd her back into the run and into the coop, then climb through the cleaning door into the coop ourselves to nab her, lol. Good thing no one was there to video it!