Its absolutely not night terrors. Night terrors are a parasomniac condition where the person experiencing it is not aware they are actually awake. They are generally uncommunicative (other than the screaming), and do not remember the episodes.
You could not conceivably ask a 2 year old experiencing a night terror what was scary - if you could do so, it wasn't a night terror. Its most likely related to fear of abandonment. Pretty common at her age, especially with one parent who's suddenly become pretty distant.
Whether he needs to work or not I don't know, but he does need to put his phone down and play with his child while he is there and she is awake. She's 2 - she can help cook. She can play in the bathroom while he has a shower.
Yes, probably night terrors, which are suggested you simply help the child to fall back to sleep, rather than waking them up, or rather than asking what is wrong. Look into possible food sensitivities such as wheat or dairy; peanut products. Try removing these for about two weeks and see if things settle down a bit.
http://www.youtube.com/watch?v=fRDpcWZUE... Dr. Doris Rapp #2: http://www.youtube.com/watch?v=ZzvIq8WIS... GLUTEN INTOLERENCE ARTICLE: http://www.anchoragepress.com/news/glute...
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