It does sound like your daughter is still having eczema. In atopice eczema, the skin is often dry and sensitive and itchy. The constant scratching certainly does not help as it leads to breaks in the skin and worsens the eczema. Eczema can also affect other areas and is not always confined to the flexures.
In eczema, besides dryness, the skin is also often red and inflamed. Dr Ethan’s advice not to scratch and to moisturize frequently is excellent. However, if the skin is red and inflamed, treatment to bring down the inflammation such as topical steroids or antibiotics may be needed.
I do agree with Dr Ethan that she shoud see a dermatologist to get a proper diagnosis and treatment for her problem.