Just to give you more options on what works, I have VERY bad dermatitis/eczema and DD has inherited it also. She has had it from a newborn and she is now almost 20 months.

I do not use any type of soap on DD, she uses "organic care" kids shampoo & conditioner in one which is an organic range now available at Woolworths and very very economical. The kids product is a pink bottle and is a 2 in 1 product which is also a body wash and i even put a little in her bath as a bubble bath. As a bonus is smells wonderful.

As a moisturiser I use QV Repair Cream and I lather it on when her skin is dry and always after her bath. While her skin is bad I'd go to bathing every 2nd day and just give her a sponge bath the alternate day if she needs it as the water will dry her skin out as funny as that seems. Eczema will flare whenever you have dry skin. I've seen two dermatologists plus two allergy specialists about mine due to the severity so I've tried all the tricks. Best approach is just to keep the skin very moisturised.

Moisturise bubs at each nappy change, especially in the places she gets the eczema. If she is dribbling or spilling a lot of milk then make sure you use a bib which you can change very regularly and even a cloth nappy under her chin while she feeds will soak it up.

Hope you find something that works as it's a frustrating skin conditions..