This is a very difficult question to answer with certainty. Your daughter may well be able to make herself vomit when she wants to get in your bed.It is unusual that she can tolerate other dairy products yet she vomits ice cream and milk shakes.This may be due to some ingredient in ice cream or milkshakes [which contains ice cream]Keep her off ice cream and milkshakes and see if she improves. If she still vomits then she is most probably able to make herself vomit when she feels the need to do so.If this problem worsens you will need to ask a child psychologist to see her.
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