The Greyhounds (2-0), who defeated Lassiter in their season opener Friday, used their up-tempo attack to neutralize the Hoyas' superior size and take control of the game in the second half.
"We scored a lot of points," Pope coach Pat Abney said. "(A) 72-70 (score) is a lot of points. We obviously had to play well offensively to offset Harrison's height advantage. They gave us so many problems with their size, but we played so well offensively and we were able to get some baskets in transition."
Garrett Brown scored 19 points, while Austin Card added 13 and Myles Everett 10 to lead Pope.
Harrison (0-1) was led by 6-foot-9 center Marshall Guilmette's 22 points, while Jeremy Presley added 13.
The lead went back and forth through most of the first quarter with Harrison leading 17-14 with 1:00 remaining. But a driving layup by Brown with 42.4 seconds, coupled with a short jumper by Tyler Cummings at the buzzer, put Pope ahead 18-17 at the end of the quarter.
Harrison went on an 8-0 run to begin the second quarter, with Presley hitting a 3-pointer, Jordan Kinney scoring on a layup and Presley nailing another 3. That gave the Hoyas a 25-18 lead with 6:07 remaining in the first half.
But Pope responded with a 10-2 run of its own as Brown scored on a driving layup, Card on a putback and Matt Polyne on a jumper. Card then made a pair of free throws and scored on a layup to give the Greyhounds a 28-27 lead with 3:44 left in the first half.
Pope began to take control towards the end of the first half when, with the score tied at 32-all with 46 seconds left, Everett and Polyne hit back-to-back 3-pointers to give the Greyhounds a 38-32 halftime lead.
Pope took advantage of some Harrison turnovers and 3s from Brown, Polyne and Everett to take a 49-40 lead with 3:28 remaining in the third quarter.
Harrison began to narrow the gap in the final 3 minutes of the third quarter, taking advantage of Pope turnovers to go on a 10-3 run and cut the Greyhounds' lead to 52-50 at the end of the quarter.
Harrison stayed close to Pope throughout the fourth quarter, but the Greyhounds stayed in front the whole way and held on for their second win of the young season.
"We got outplayed in every aspect of the game," Harrison coach Robert Churchwell said. "(Pope) played hard and beat us to every loose ball."
Both teams will return to action on the road Tuesday, with Pope playing at Sequoyah and Harrison traveling to Allatoona.
Pope 45, Harrison 30: Andrea Brown flirted with a triple-double as the Lady Greyhounds continued their spotless start.
Brown led Pope (3-0) throughout the box score with 12 points, nine rebounds and eight assists. Angela Davis added 11 points - including three 3-pointers - and eight rebounds, while Brady Boggs scored 11.
Taylor Schwan had eight rebounds of her own as the Lady Greyhounds finished with 36 on the night.
Taylor Benson and Nikki Hegstetter led Harrison (0-1) with eight points apiece.