Triglyceride and other polyol ester PVC plasticizers can be produced by recovery of branched C6 to C9 aldehydes from a hydroformylation product, optional hydrogenation to the alcohol, oxidation to the acid with oxygen and/or air, recovery of the resulting acid, and esterification with glycerol, ethylene glycol, propylene glycol or mixtures thereof. The branched alkyl chains comprise at least 10% methyl branching. Special triglycerides are derived from branched aliphatic acids having alkyl chains with average carbon numbers from 6 to 9 and at least 10% methyl branching. These triglycerides are fast fusing plasticizers if before esterification with glycerol, an aryl acid is introduced together with the aliphatic acids.