Brown, the grandson of Eddie "Jelly" Watson, who brought high school football to Cookeville, played shortstop quarterback at Putnam County High School. Along with his younger brother Mack (now the head coach at the University of Texas). In 1967 they won the Tennessee state championship, and Watson was named to the All-State team. He accepted a scholarship to Vanderbilt, where he quarterbacked from 1969 to 1972, including a 14-10 upset of the Alabama Crimson Tide in his first season.
In 1973 Brown started coaching as a graduate assistant at his alma mater, becoming a full-time assistant at East Carolina under Pat Dye the following year. In 1976 he took the job as offensive coordinator at Jacksonville State University, going to the Division II national championship in 1977. The following year he coached quarterbacks and receivers at Texas Tech.
In 1979, Brown was hired for two seasons as the head coach at Austin Peay State. His next coaching job came in 1983, when he led the Cincinnati Bearcats for one season. He left that job for the opening at Rice University in Houston in 1984. A year later he also assumed the role of athletic director. In 1986 he moved to Vanderbilt University in Nashville where he coached the Commodores for four seasons, through 1990, when he was replaced by Gerry DiNardo. He then went to Mississippi State to be the Bulldogs offensive coordinator. In 1993 he accepted the same role at the University of Oklahoma.
He was hired to succeed Jim Hilyer as the head coach at UAB in 1995. At the time, UAB was playing in the NCAA's Division I-AA. Brown oversaw the transition to Division I-A in 1996. The team debuted as a football-playing member of Conference USA in 1999, finishing that first season in a tie for second place in the conference.
In December 2005, Brown stepped down as athletic director to devote his full attention to the football program. After the 2006 season, in which the Blazers went 3-9, ending the year with six straight losses, Brown resigned as head coach. It was announced on December 9 that he would become head coach for Tennessee Tech, returning to his hometown. UAB hired Neil Callaway to take over the football program on December 17.
In his 12 years at UAB, Brown's teams compiled a 62-74 record. His overall record as a head coach stands at 91-142-1 (77-134-1 in Division I-A). He was elected to the Tennessee Sports Hall of Fame in 2004.
|UAB Blazers Athletic Director|
Richard Margison (interim)
|UAB Blazers Head Football Coach|
- Irvine, Steve (December 9, 2006) "Brown headed back home". Birmingham News.
- Irvine, Steve and Mike Perrin (December 1, 2006) "Sullivan scrambles". Birmingham News.
- UAB Media Relations. (November 21, 2002) "Watson Brown Named Athletics Director at UAB". press release. - accessed November 30, 2006
- Zenor, John (August 17, 2006) "Mack, Watson Brown labor in different coaching lives." Associated Press.
- Townsend, Brad (January 3, 2006) "Brown's town: Cookeville is big on Mack." Dallas Morning News.