C.H.
I have two young children and have been through this at various stages in their development.
I think you are doing the right thing. I would tell my kids it is night time and you need to go to sleep, put them in bed and leave the room. Keep it short. And as difficult as it may be, if this continues you may just have to let her cry it out. Knowing that you are not coming may break the cycle. I had to do that with my oldest. It isn't easy but it works.
Good luck, hang in there. I know what you are going through and it will pass.