Cetraben
Cetraben oil for baths
Cetraben emollient to wash with and put on after bath
Our eldest had such bad eczema as a baby/toddler. He was in baby grows to sleep until gone two to keep his hand from his skin.
Cut her finger nails as short as you can. Which is not easy but it really helps.
I wouldn't use LUSH products all the time I would use emollients from chemist.
You can get Cetraben on prescription, which really helps because it's not cheap and it's advisable to cover her x4 times a day, which really doesn't take long, once when getting dressed first thing, once around lunchtime nappy once around late afternoon nappy and just before bed.
But whilst you wait for a prescription you can purchase off the shelf in a chemist.
I used to use a small amount of ecover non bio powder for washing clothes, you can now get ecover zero, so no perfume at all, which might be useful whilst you work out what is causing any itching.
It's really hard, you see your baby not understanding and waking up and being itchy all the time and it takes days to see much effect.
I would also do spot tests now for suntan lotions, because you will need them.
Boots Soltan 50+ sensitive was ok for us
P20 was ok
Buy some testers or small bottles now if you can, you can always use them yourself if they make her flare up.