Mclhenny Paul C.P. McIlhenny, CEO Of Company That Makes Tabasco Sauce, Dies By editor • Feb 24, 2013 The CEO and chairman of the company that makes Tabasco sauce has died in New Orleans. Paul C.P. McIlhenny was 68. McIlhenny died Saturday, according to a Sunday statement from the Avery Island, La.-based McIlhenny Co.