moribundman,
Replace the ethoxy part of sodium lauryl sulfate with a benzyl and use a divalent salt instead of a monovalent and you are pretty close. The sulfonate part of an oil detergent will have 12-32 saturated carbons and a ring followed by the sulfate. Lauryl sulfate is 12 saturated carbons, then OCH2CH2 followed by the sulfate. P.B wasn't off by much...except for the water part of palmolive.