Just before my flight I had a vomiting attack. I was fine all day before this, without any sign of nausea. I was then vomiting constantly for five hours (without diarrhea). It was so bad I had to sadly miss my flight. The ambulance arrived at the airport and told me it was a viral infection.
Would suggest readying the book "What's Eating Your Child?" by Dorfman. There are many, many substances that your child could be having a reaction to. Most traditional MDs and ODs are clueless to what's truly in our foods and drinks, unless you speak to highly specialized and educated oncologists. Start with eliminating dairy and processed products. Keep a food diary and her responses to the foods and drinks consumed. Work with whole foods, keep it simple and basic, and then start reintroducing foods back in. Start reading food and drink labels and looking up what's in them. Avoid artificial sweeteners too. At three she should not be vomiting 10x/day. That is not normal and the digestive fluids could be damaging her. Hope that helps.
It could be to with yeast starting to over grow and the body is trying to get rid of it so it doesn't tax the system. To test if you have yeast overgrowth in the digestive tract, take a glass of clean pure water (not tap water!) and (not after you've just brushed your teeth!) Spit in a glass and leave it next to your bed overnight. If the spit has 'grown' or 'grown strings' then it's yeast... You will want to buy a fungicidal yeast killer at a decent dose... and cut it out of your diet.. do the treatments and don't forget to take some natural milk thistle tablets to help clean out your liver and some activated charcoal to get rid of any by-products the havoc has caused....I really hope this helps... I am still on my journey to recovery too, almost there.. unfortunately the medical system has played no part in my recovery so i can only give you what i've learned.