If she is screaming because she is in pain, deal with the pain. If she is screaming because she has discovered her voice and the power that she has over the big people in her life, you have a problem. I hate it when they do that!
It may not be the best plan, but I dealt with that horrible sound at the source. When they were in the mood to screech, I tried to be close enough to flick their cheek enough to smart, but not bruise. I did accidentally end up "wounding" my son with my wedding ring once, but he soon got the message that his action would bring unpleasant consequences. Fortunately, this is a stage unless the child learns to use it to manipulate. Then it becomes a real problem.
Your daughter is likely just discovering how much power she has over her environment. Try to teach her more positive ways to get your attention. Always respond when she is happy and talking nice and do not give in to anything if she uses that tone. When they simply would not give it up, I would just put them in their crib and shut the door. Then, as soon as I heard something that I accepted, I would go in and get them.
You will survive this, but boy is it annoying!