Perhaps the article (http://www.straightdope.com/mailbag/mcaesar.html) did not delve deep enough.
The Charlotte Observer (http://www.myrtlebeachonline.com/mld/charlotte/entertainment/dining/6802925.htm) says:
Depending on which story you believe, the original Caesar was created by Italian immigrant Caesar Cardini in his Tijuana restaurant as a Fourth of July throw-together in 1924. Or by an employee of Cardini’s named Livio Santini, who made his mother Beatriz’ salad in Cardini’s kitchen every time he felt homesick for Italy. (In that version, Cardini appropriated the recipe, though Santini’s son was quoted as saying his dad didn’t care about credit.)
Other versions say Italian Air Force pilot Alex Cardini augmented his brother Caesar’s original, subtle dish to the strong-flavored salad many of us think of as Caesar today. Still others honor Chicago-based chef Giacomo Junia and say he named it after Julius Caesar.