The Terps trailed the Spartans by 12 after 10 minutes.
The Terps enter the Big Ten Tournament on a two-game losing streak.
The Terps made three field goals in the game's final 10 minutes.
The Terps gave the ball away 15 times in Wednesday's loss to the Wildcats.
The Terps went on an 11-0 run in the game's first four minutes.
The win was Maryland's fifth in a row.
"It’s just a maturation process."
Despite a shoulder injury, Morsell impressed on both ends of the floor.
The Terps held Scarlet Knights star Ron Harper Jr. to just six points on 1-of-6 shooting.
Ayala and Wiggins combined for 46 points to fuel the Terps' efforts.