L.M.
Yes, this is normal. My daughter did the same thing. We tried everything! I don't know what your religious feelings are but, what ended up working was praying over her everytime she started screaming in her sleep. She doesn't have them anymore, but they ended completely when we started to pray over her for Jesus to protect her dreams before we even put her down to sleep. I am sorry if I offended you or your religious veiws, but it did work.