First, be aware that many kids have reactions to fragrances, dyes, harsh chemicals and animal by-products. Try to find something that doesn't contain any of the above. I too use Arbonne, because they are pure, safe and beneficial. Their baby oil is made up of natural oils ( no mineral oil which is motor oil refined 7x) and works really well to get rid of eczema. I mentioned animal by-products which a lot of skin care companies use in their products, and which tend to be a cause of irritation to children's skin. These animal by-products come in the form of fat that is skimmed off the top of water after dead, diseased animals, roadkill and euthenized pets are taken and boiled in these rendering plants. Skin care and cosmetic companies are the number one purchasers of this rendered fat that they use as fillers in their products. Look for stearic acid on the label. If the products are vegan-certified (which Arbonne is) then the stearic acid used in those products comes from plants.
I know I just rambled on and on, but essentially what you need to do is eliminate the cause of irritation, which in a lot of cases is due to sensitivity to fragrances, dyes, chemicals and of course the animal by-products.
I hope you find something that works for your child, and that is safe for them as well.
If you would like to try Arbonne, just email me @ ____@____.com and I will get you some free samples.