I have read that a combination of shea butter, coconut oil and essential oil does help. Since I have the ingredients in hand, there is no harm in whipping some cream for a trial.
So here goes the recipe :
1/2 cup shea butter (~90g)
1/2 cup liquid coconut oil (~90g)
1/4 cup beeswax
20 drops lavendar essential oil
15 drops tea tree essential oil
10 drops rosemary essential oil
Method :
Heat the shea butter and beeswax till melted. Add in coconut oil. Mix well. Let cool. Add in the essential oils. As the mixture cools and thickens, but still liquid, give it a good whip every 5 mins. You can put the mixture in fridge to let it cool faster. Continue whipping every 5mins until soft white peaks are formed and the mixture thickens. Pour into sterilised containers and let set.
The cream is ready to used once it has set.
It is important to note that beeswax is needed when liquid coconut oil is used. If using solid coconut oil, beeswax can be omitted. The beeswax hardens the cream but be careful to not add too much as it results in a balm that is hard to apply. The amount of beeswax in this recipe is just nice for a soft, and yet not too soft cream.
After using for 2 weeks, I am happy to report that little X did not have any eczema flares at all.