TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: At least 50 mass% of the alkanol is reacted in step (C), and at least 80 mass% of the alkanol in glycerin stream is removed from the glycerin in step (C). The step (C) is conducted in at least two sequential reaction stages, using a countercurrent flow, extraction reactor, where at least one first stage converts a major portion of the free fatty acids in the glyceride feed to step (C) to soaps and another stage primarily consumes alkanol. At least two reaction stages are used in transesterification of step (A) with phase separation of oil phase and glycerin phase after each, and the glycerin phases from at least two reaction stages are combined and at least an aliquot portion is passed to step (C). The glyceride-containing feed is acid treated in presence of lower alkanol to reduce phosphorus compound content of feed and reduce free fatty acid of feed by converting free fatty acid to fatty acid ester. The feed to the acid treatment contains free fatty acid (5 mass%), and an esterification occurs during the acid treatment to provide glyceride-containing feed of free fatty acid (0.5-2 mass%). The glyceride-containing feed from the acid treatment contains alkanol. A rag layer is formed in at least one of separation of steps (B) and (D) and at least a portion of the rag layer is passed to the step (C). The process additionally involves: transesterifying at least a portion of the pretreated glyceride feed with lower alkanol under condition in presence of the catalyst to provide transesterification product comprising fatty acid ester and glycerin, where the product contains unreacted lower alkanol and the catalyst; phase separating from transesterification product an oil phase comprising fatty acid ester and glycerin stream (S1) containing lower alkanol and the catalyst; and passing at least portion of the glycerin stream (S1) to the step (C). Preferred Components: The pretreated glyceride feed from step (D), contains free fatty acids (less than 0.5 mass%) and phosphorus compound (less than 10 ppm-m). The glyceride-containing feed contains water and the pretreated glyceride feed from step (D), contains less than 0.1 mass% of water. The glyceride-containing feed to step (C) contains 0.1-3 mass% of free fatty acid, and the pretreated glyceride feed from step (D) contains less than 0.05 mass% free fatty acids. The glyceride-containing feed in step (A) contains mixture of glyceride-containing feeds; and comprises crude corn oil from the fermentation of corn to produce ethanol, and also at least one of crude and partially refined soy oil. The lower alkanol is methanol, where at least 80 mass% of methanol in glycerin stream is removed in the step (C). Preferred Composition: The producer composition comprises (mass%): free fatty acid (less than 0.05), water (less than 0.05) and phosphorus compound (less than 10 ppm-m). The producer composition is derived from a glyceride-containing feed containing triglyceride, free fatty acid (at least 5 mass%), and phospholipids (at least 50 ppm-m). EXAMPLE - A feed composition comprising triglyceride (42.1 mass%), di-glyceride (13.7 mass%), mono-glyceride (4 mass%), fatty ester (36.7 mass%), methanol (3.5 mass%), sodium methylate (trace), phospholipids (less than 10 parts per million), free fatty acid (less than 0.04 mass%) and water (less than 0.02 mass%), was prepared. The pretreated feed was passed to a transesterification component and refining component. No alkanol replacement reactor was used. Methanol (0.45 kg/hours) was provided to the transesterification component/kg of feed (60 mass%) provided to reactor. Sodium methylate (60 mass%) was provided to reactor. After refining, biodiesel (2.1 kg) was obtained.