Harrison connected on four 3-pointers for the Wildcats (3-1), who fell to the Colonials in the first round of last season's NIT.
Julius Randle contributed 10 points and 15 rebounds for Kentucky.
Robert Morris (2-2) was paced by Karvel Anderson with 16 points.
Pregnant Mila Kunis wins 'Best Villain' at MTV Movie Awards
Charlize Theron not engaged to Sean Penn 'yet'