Any proven herbal remedies for the hyper child?

Probably. I have no training in herbs, but i can tell you that hyperactivity is extremely common and is most often due to sugar intake. Stop sugar in all its forms and look at how to initiate a proper diet made up of "god-made" food. There are no short cuts to a proper diet for it is the fuel for which we were designed and the brain of a child requires excellent nutrition.