Organic pb is the one with just peanuts and salt. No added oils. The oil from the peanuts separates at room temp, hence the need to stir it up (or keep it in the fridge).
"Natural" pb usually has palm oil in it in addition to the peanuts and salt. Palm oil is solid at room temp and doesn't separate.
Whether you call it natural or organic likely depends on the source of your information.
"Natural peanut butters normally only have two ingredients- peanuts and salt.
The peanuts are non-organic. They aren’t referring to the peanut butters on the market that use vegetable oils, sometimes hydrogenated or partially-hydrogenated, in order to keep the nut butter from separating, or the ones that contain sugar. Natural peanut butter normally separates where the peanuts are on the bottom and the naturally-occurring peanut oil is floating on the top."
Organic anything, peanut butter to apples means that no pesticides, herbicides or growth enhancers were using in growing the product. Egg carton labels are extremely complicated. Did you know that eggs labeled vegetarian fed means that the chickens are
not cage free. Chickens, like most birds, eat insects, worms, snakes, frogs and even mice as well as grains. Organic eggs come from chickens fed organic grains free of pesticides plus the chickens must have access to the outdoors. In the egg display at stores, you will see all manner labels which show the above mentioned choices or combinations thereof. Caged chickens are more likely to get sick, thus their eggs may be contaminated with a virus too. Learning all this stuff is enough to make a person crazy or want to get their own egg laying chickens.