The Lady Vols (11-1) never trailed, using a 17-0 run early to build a 25-4 lead with 12:29 left in the first half in the first-ever meeting between the programs.
Harrison had a double-double by halftime with 12 points and 10 rebounds. Meighan Simmons scored 14 of her 15 in the first half for Tennessee.
Danay Fothergill scored a team-high 13 points for Lipscomb (3-8) before fouling out with 13 minutes left.
NO. 2 NOTRE DAME 70, OREGON STATE 58
In Corvallis, Ore., Kayla McBride scored 20 points and Natalie Achonwa added 16 points and eight rebounds for unbeaten Notre Dame.
Sophomore Jewell Loyd, last year’s national freshman of the year, had 10 points for the Irish (11-0) – 8.5 below her team-leading average.
Jamie Weisner scored 18 points to lead the Beavers (8-4), and Ruth Hamblin added 12 points, eight rebounds and a school record-tying nine blocks.
NO. 6 KENTUCKY 109, GRAMBLING STATE 46
In Lexington, Ky., Bria Goss scored a career-high 23 points to lead Kentucky.
The Wildcats (12-1), coming off a 69-61 loss to No. 2 Duke, were never threatened. Grambling State was without coach Pat Gibbs, who was recovering from an undisclosed surgery, and dressed seven players.
Joanna Miller led Grambling State (3-8) with 14 points.
NO. 8 MARYLAND 103, COLLEGE OF CHARLESTON 51
In College Park, Md., Alyssa Thomas scored a season-high 28 points and grabbed her 1,000th rebound for Maryland in the Terrapin Classic championship game.
Shatori Walker-Kimbrough added 15 points as the Terrapins (12-1) closed out December and the non-conference portion of their schedule with their 10th consecutive victory.
Afreyea Tolbert scored 20 points for Charleston (7-5).
GEORGIA TECH 99, ALABAMA STATE 58
In Atlanta, Kaela Davis and Dawnn Maye scored 18 points apiece to lead Georgia Tech (9-3) to a win over Alabama State.
MIDDLE TENNESSEE 76, CLEMSON 51
In Clemson, S.C., Ebony Rowe had 17 points and 10 rebounds to lead Middle Tennessee (10-3) past Clemson (7-6).