As a college freshman, Birdsong finished third among the team's scoring leaders with 14.3 points per game. The following year, Birdsong etched his name in the University of Houston's record books by becoming the first sophomore in the school's history to register 1,000 career points. When the Cougars began playing in the Southwest Conference, Birdsong soon established himself as the dominant scorer in the league's history. In his first year as an SWC player, Birdsong led the league in scoring, finishing eighth nationally with a 26.1 average. Birdsong was named a 1977 Consensus All-American and Southwest Conference Player of the Year after leading the Houston Cougars to a 29-8 record and the National Invitational Tournament championship game against St. Bonaventure. Birdsong scored 38 points and made 18 free throws against the Bonnies, but Houston lost. He ranked fourth nationally in scoring and set an SWC record with 30.3 points per game. His accomplishments resulted in Birdsong being named SWC Player of the Decade.