If she doesn't recall the dream at all after waking up and is difficult to arouse while she is having them, only then they will be night terror. Otherwise they will be nightmares. Night terror need to be evaluated properly in a child because sometimes it maybe because of something in the brain. It cannot be simply waited out. Please consult for detailed evaluation and management.

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This seems more like nightmares/anxiety rather than night terrors, as she remembers the content and seeks comfort. It’s common in children and often improves, but since it has been frequent for 6 months, it should be evaluated. Please consult a child psychiatrist for proper assessment and guidance.