Education
Maxwell lettered in football at Texas Agricultural and Mechanical from 1966-1968. In the 1967 season, he helped the Aggie team win a Southwest Conference (SWC) title after a 0–4 start. The Aggies were invited to play the Cotton Bowl Classic, in which they defeated Alabama.
He was also named a first-team All-SWC wide receiver in the same season. and a first-team All-American defensive back in 1968.
In the 1969 NFL Draft, he was picked by the Baltimore Colts in the second round (51st overall).