Tommy John would have better years with the Los Angeles Dodgers and New York Yankees, but this should not discount what he did in Chicago from 1965 to 1971.

Willie Kamm was so highly regarded in the minors that he would become the first player purchased for six figures when the White Sox bought him from San Francisco of the Pacific Coast League in 1922.  Kamm may not have become a Hall of Famer, but he did become a popular figure in Chicago.

Ozzie Guillen debuted in the Majors in 1985, and he would become the American League Rookie of the Year.  Guillen affixed himself as the White Sox' starting Shortstop for well over a decade, and he would be named to three All-Star Games while smacking s solid 1,608 Hits for the franchise.

While the name of Tommy Thomas is certainly alliterative, it is also owned by a very good Pitcher.