Rachel Allison had 15 points for Baylor (20-1, 8-0 Big 12), which matched its longest conference winning streak.
The loss stopped a 10-game winning streak for the Wildcats (15-6, 7-1), their longest in four years. Kansas State trailed by as many as 13 in the first half but got within 38-35 on Shalee Lehning's bucket right after intermission.
But Kansas State went almost 11 minutes without a basket and wound up with its lowest point total since a 68-56 loss to Wisconsin-Green Bay on Dec. 5.
Morrow hit a shot, then canned a 3-pointer to help get the take-charge spree under way. After Morrow's bucket made it 49-37, Allison rebounded Marlies Gipson's miss and converted it on the other end with a 12-footer for a 51-37 lead.
Angela Tisdale drove in for a basket and then hit a pair of free throws before Kimberly Dietz finally ended Kansas State's drought with a long 3-pointer.
But by then, the Lady Bears held a commanding 55-40 lead with 7:40 to go.
NO. 4 RUTGERS 64, NO. 14 PITTSBURGH 60
In Pittsburgh, Rashidat Junaid came off the bench to score 10 points down the stretch with Pitt star Marcedes Walker out with an injury, and Rutgers rallied from eight points down in the second half to beat the Panthers.
Junaid, a 6-foot-4 sophomore proved a difficult matchup problem with Pitt's best inside player unavailable, scoring four consecutive baskets during a game-altering 15-1 run that allowed Rutgers to turn a 51-46 deficit with less than seven minutes remaining into a 61-52 lead.
Matee Ajavon scored 15 points, Epiphanny Prince added 14 and Junaid had 11 points and six rebounds despite playing only half the game as Rutgers (18-3, 8-1 in Big East) bounced back from a 63-54 loss at No. 12 West Virginia on Tuesday.
Shavonte Zellous scored 20, Mallorie Winn had 16 and Xenia Stewart 15 for Pittsburgh (17-4, 7-1).
Pitt's loss left No. 1 UConn as the only unbeaten team in the Big East and ended the Panthers' 11-game winning streak.