I use QV bath oil with the kids. DD2 gets eczema & DS is very sensitive to soaps also.
I've also just starting to use an oatmeal shampoo & conditioner for DD2. Have only used it once so far, so can't comment yet
As far as I know QV bath oil is liquid parafin so I don't use it. I found DD's eczema is better since I stopped using it. I used to use the oatmeal shampoo but I feel the MooGoo shampoo is better. I wish they made a bath oil. I will definately try the coconut oil. I can't get used to putting something on my skin that I cook with i.e. olive oil.