The Pirates (2-5) shot just 30 percent in the win - Meikle hit 3 of 10 shots. But Hampton made it up at the free throw line. Meikle sank 9 of 10 foul shots while the team went 24-32.
Tennessee State was held to 31.5 percent shooting and only 16 of 26 from the foul line in its fifth straight loss. The Tigers (2-6) were led by nine points apiece from Christian Mekowulu and Jay Harris - the second time this season the team didn't get a scorer into double figures.
Brown capped a breakaway 11-3 run for Hampton, up 48-41 with 5:10 left, and the Pirates scored their last 12 from the line.