Re the cows milk - if there is a cows milk allergy, switching to goats milk will not help in the majority of cases. The protein in cow and goat milk is very similar and most children allergic to one will be allergic to the other.
If scratching of eczma at night is a big deal, get some all in one sleepers made (like the little ones newborn babies have, with feet attached), with coverings over the hands as well as the feet. You want them in cotton, not synthetic material. There are patterns readilly avaialable for the basic outfit, just add the hand coverings.
I would suggest a parenting forum. If it isn't a medical problem, it is behavioural. Children learn very quickly how to push their parents buttons.
Allie
who wishes she did not have so much hands on knowledge about allergies