The Longhorns went from being one game away from a title the previous year to finishing second in the Southwest Conference.
The Terrapins finished second in the Atlantic Coast Conference and made their sixth straight bowl appearance.
Jones (no relation) traded rushing touchdowns, and Mark McBaeth threw a touchdown pass to Lam to make it 21–0 by the time the first quarter ended, in part due to the 33 yard average on the three punts Maryland did in the quarter.
A fumbled kickoff return by Maryland gave the ball to Texas early in the second quarter, and McBaeth added a touchdown run of his own to make it 28–0.
A Johnnie Johnson interception gave the ball back to the Longhorns again.