A good rule of thumb to follow when looking for a moisturizer for oily skin is to shop for things that are noncomedogenic (not pore-clogging or likely to cause acne, in plain speak) and oil-free.
Marc Agnifilo, attorney to Sean "Diddy" Combs, has given his reasoning on why there may have been a bulk of baby oil found ...
Unrefined extra-virgin coconut oil has been my fallback since she ... or need a quality baby moisturizer suitable for fall and winter. There are literally thousands of options there.