Actually it sounds like eczema to me. Plus steroid creams are usually used to treat eczema.
dear daughter has eczema and she has dry red scaly patches on her face, elbows, behind her knees, etc.
You can try by applying the steroid cream, wait for about 10-15min for the cream to be absorbed, then apply moisturiser. I use QV cream to moisturise her. Even after the patch goes away, you should continue to apply moisturiser twice a day to prevent it from coming back.