All 3 of my boys have had terrible allergies. I would highly recommend getting your little one tested. Many allergists shy away from testing babies & toddlers but you can find ones that will. We used Dr. Bob Lanier & loved him! Unfortunately, NOTHING showed up on my boys' allergy tests even though they were exhibiting eczema and having asthma attacks.
It wasn't until we switched over the products we were using in our home (at the recommendation of a friend) that they saw any relief. Now we use things without formaldehyde, bleach, ammonia, phosphates, etc. They have been virtually symptom free for almost a year and a half. It is definitely something to look into! :)