In his 34 years at Stanford (through the end of the 2010 season), he has compiled a record of 1,387–619–7 (.661). His teams have made the postseason 23 times, and have had a record of 109–50 there. In the NCAA Regionals, his teams have a 65–25 record. In the NCAA Super Regionals, his teams have a 10–2 appearance. In the College World Series, he has compiled a 34–23 record, winning back-to-back national titles in 1987 and 1988. On April 3, 2011, Marquess won his 1,400th game. He is a member of the Stanford Athletic Hall of Fame.
He spent four years in minor league baseball with the Chicago White Sox and Cincinnati Reds organizations, the last year as a player-coach for the Iowa Oaks, the White Sox' top affiliate. While still with the Oaks, he became an assistant coach at his alma mater in 1972, and was named head coach in 1977.
National champion Postseason invitational champion Conference regular season champion Conference regular season and conference tournament champion Division regular season champion Division regular season and conference tournament champion Conference tournament champion