After reading these two studies:

http://ajcn.nutrition.org/content/71/1/367s.full
http://onlinelibrary.wiley.com/doi/10.1111/j.1740-8709.2011.00319.x/full

I upped my intake of Evening Primrose Oil to 8,000mg (8 gelcaps) a day (in addition to my 2 tablespoons of cod liver oil), and my eczema and the associated severe skin itchiness and pain cleared 95% after a few days.

Hopefully this might help someone.