Reese scored 19 points, grabbed five rebounds and dished out a pair of assists against Alabama.
Brenda Frese's squad tallied 22 assists on 42 made shots.
The Terps held the Mountaineers to four points on 12.5 percent shooting in the second quarter.
Star sophomores Ashley Owusu and Diamond Miller took over as the Terps advanced to the round of 32.
“They deserve just as much as the men do.”
The Terps will face Mount St. Mary’s in the first round on Monday.
The Terps scored the most points in the title game's history.
The Terps shot 58.6 percent from the field.
Owusu scored 13 points in the fourth quarter to propel the Terps past the Cornhuskers.
The Maryland women's basketball coach has been inspired by her father's battle with prostate cancer.