How to treat eczema in infants and toddlers Eczema in infants and toddlers is an inflammation of the skin that is often accompanied by itching, redness, and swelling. Eczema is common in many babies, and some babies have it all the time. Although eczema does not have a major impact on a child\’s body, it can cause discomfort and annoyance to the baby. Fortunately, there are many ways to treat