Hollingsworth made all 13 of his foul-shot attempts.
The 49ers led 39-38 at intermission and the game stayed close until Western Kentucky went on a 10-1 run and led 59-50 on Jared Savage's three-point play. Luka Vasic made a layup to reduce the deficit to 60-55, but a 16-4 Hilltoppers run put it away.
Savage scored a season-high 20 points and had three blocks for Western Kentucky (12-6, 5-1 Conference USA), which earned its fourth consecutive home victory. Carson Williams added 15 points.
W. Kentucky takes on Marshall on the road on Wednesday. Charlotte plays Old Dominion on the road on Monday.