Shea Moisture Raw Shea Butter Baby Oil Rub. Keep your little ones skin smooth and healthy with the SheaMoisture organic baby oil rub. It has argan oil that's rich in Vitamin E and shea butter that has essential fatty acids to moisturize your babys skin. This raw shea butter oil also has chamomile to relieve irritated and red skin. It has an unscented formula and is paraben free. This baby body oil can also be used on dry skin.