Thanku for your query,
Well i understand your concern, it does not seems hand foot mouth disease , as it generally takes a course of 7-10 days , not several weeks . It seems baby is sufferring from some other illness , more of atopic dermatitis
. For this u need some sootheners like calamine
lotion along with some steroid
ointment .Atopic dermatitis is generally because of allergy
, or change of weather ,stress related. therefore rule out any allergan exposure and avoid it.
I hope i have answered your query