Can hearing a rooster crowing make hens go broody? Even if it's on TV?

[SoCal Chicken Mama]

Mother of Chaos and Rosemary and Thyme,
Thanks for your advice, and everyone for your comments. I'll look for the parrot water cup. I keep a small fan running in the area where the nest boxes are all day, every day in hot weather, to get rid of the smells, and cool it off. When it's cold I just put it on for an hour in the morning. During the day they usually only go in there to lay eggs. They sleep there all night, so that's where the smells are concentrated, even after I've taken the poop out. I ended up bringing her inside the air conditioned house in the big dog crate, with water, until I saw her drink. A couple of hours. She was much better after. But at night she was running scared after looking at the broody jail, so I told her she could sleep on the roost, and she went right up there and got on it. (Who taught them to understand English?). In the morning I found her in the nest box, but she hadn't been there long, because it was clean. She's loose eating right now, so I better go check on her.