Towson trailed 35-30 with 12:35 remaining before switching to a zone defense, stymieing the Morgan State offense and sparking a 10-2 run which was capped a 3-pointer by A.J. Astroth and during which McGlynn scored seven points.
Towson (1-1) would never trail again.
The Bears immediately fouled and McGlynn hit a pair free throws.
After Clive Vaughan Jr. missed a 3 on the other, McGlynn made two more free throws with 7 seconds left to seal it.