Em, I'd have the allergies/intolerances investigated further with her. There may be something underlying that is making her unsettled and it sounds like you've already identified one issue. If you are able to avoid those things in your diet and then in hers as she starts on family foods, it may help her at least settle a bit better. There are some specialist paeds/allergy specialists who can advise you on testing.

Sounds to me that you've done an amazing job of managing a beautiful girl who's a little high maintenance!