hi there phenioxml, im not sure what to do to stop your little dd to stop rubbing her eyes but i was at the chemist yesterday and the lady there was telling me about a ezcema relief prdoct by inner health, they do the probiotic range and apparently it is really good, maybe you could try something like tis to help relieve the ezcema and them maybe she wont rub them and will be able to sleep.
Good luck with it all