NOVELTY - Producing (M1) glycerol-related products involves: introducing a feedstock and alkylation reagent to oxygen free environment; hydrolyzing at greater than or equal to 200 degrees C, at least one lipid glyceride in the feedstock; methylating at least one fatty acid in feedstock with methyl groups from alkylation reagent; separating lower phase from upper phase of resulting condensate; acidifying upper phase; separating acidified upper phase into biodiesel dissolved in methanol and methoxylated glycerols dissolved in methanol; removing methanol and separating biodiesel.    USE - For producing glycerol-related products (claimed); for production of high value glycerol related co-products from a high temperature reaction of an alkylation reagent with various feed stocks; for directly converting feed stocks to biofuel and methoxylated glycerols without a glycerol by-product; for the synthesis of polish, as a cryoprotective agent for prevention of ice formation during cooling of vascular tissues and organs, for the synthesis of optical immersion oil, or as a fuel additive.    ADVANTAGE - The one-step method provides thermochemolysis with a single alkylation reagent at a sufficient temperature under substantially oxygen-free conditions and at ambient pressures; separate the methoxylated glycerols from biofuel.    DETAILED DESCRIPTION - Producing (M1) glycerol-related products involves: introducing a feedstock and alkylation reagent to oxygen free environment; hydrolyzing at greater than or equal to 200 degrees C, at least one lipid glyceride in the feedstock; methylating at least one fatty acid in the feedstock with methyl groups from the alkylation reagent, where the hydrolyzing and methylating occur contemporaneously; separating a lower phase from an upper phase of a resulting condensate, where the lower phase comprises biodiesel; acidifying the upper phase; separating the acidified upper phase into biodiesel dissolved in methanol and methoxylated glycerols dissolved in methanol; removing the methanol from both the biodiesel and the methoxylated glycerols; and separating the biodiesel from the methoxylated glycerols. An INDEPENDENT CLAIM is included for glycerol-related products produced from the method (M1).