She sounds similar to my son. I had to stop watching the news so much because of his worries. Even though he would be in a different room playing a game he could still hear it and there was no doubt that he had been thinking about the things he heard--things that kids shouldn't worry about--because he would talk about it later.
He worried about things like cancer and then brain injury. He worried about terrorists. He worried that he wouldn't be able to tell if people were good and safe to be around because he thought nobody was either all good or all evil and someone could act like a nice person and really not be. He wondered out loud if there might be times when suicide is acceptable. He heard about people in my family getting divorced and remarried and worried about divorce at age nine and needed my advice on how to choose the right girl to marry just in case I wasn't around when he was old enough to marry. He worried that girls wouldn't like him because they might think he was nerdy. I read to him at night and every night there is something else that he needs to talk about. He is not a kid that will just read a book quietly and then go to sleep.
He has always had trouble sleeping and the only way I could get him to sleep sometimes was to wrap him in a blanket and "hug" him to sleep because he couldn't turn off his mind and relax enough to fall asleep any other way. So I always had to allow a lot of time for talking and hugging. If I listened to him talk long enough he would sometimes come up with his own ways of dealing with the worries.