Dark circles = immune reaction. Typically, you won't get the answer by running a IGA test (or you would be seeing rashes or respitory dysfunction), but you may by running a IGG test (this measures a 2 hour response, which includes digestive). If you want to see a change without any bloodraws, cut out all milk products, then cut out wheat products (gluten free, casein free).
Why? because gluten and casein are the top two allergens. If you allow the immune system a break from the cause, the body can begin to recover. Keep giving the allergens, the immune will have further damage which will add up as she grows. You will probably see other gains after removal of these, like better, more cooperative energy, better sleep, and better function. Add cod liver oil and multivitamin as well as proibotics for improving the immune. Best of luck, J.