I fully believe in parasites, but this is silly. Eczema is partly a problem with liver, partly a problem with allergies. Asthma is a problem with allergies. Allergies stem from weak adrenal glands. Children's adrenal glands need time to develop. This is why there are loads of children with asthma and eventually grow out of it.
Are you sure parasites are your problem? Many people on these boards blame either parasites or Candida for every little thing. In return, they cleanse for month after month and even year after year. Then they stay on a maintenance program perhaps for life. When in reality, if you fix the true underlying problem, your immune system should take care of any parasites.