If your 7-week-old daughter is displaying symptoms of eczema, such as dry red patches on her face and neck, there are a few things you can do to help alleviate her discomfort. First, try to identify any potential triggers that may be causing the irritation, such as new foods, soaps, detergents, or medications. It is important to keep her skin hydrated by using a fragrance-free moisturizer 2 to 3 times a day. If the symptoms persist or worsen after a week, it would be advisable to consult a doctor to confirm the diagnosis of eczema and to receive appropriate treatment.