Liberty (14-10, 5-6 Big South) beat Winthrop 73-70 earlier in the year, which gave the Flames their first regular season sweep of Winthrop since the 2003-04 season.
James was 9 of 15 from the floor with eight rebounds and three blocks. Homesley drilled 4 of 5 from distance and Georgie Pacheco-Ortiz added 14 points with five assists and three steals for Liberty, which has won two consecutive after dropping five straight games.
The Flames never trailed, jumping out to an early lead and holding a 37-26 halftime advantage. They pushed their lead to 58-44 following a Lovell Cabbil 3 at the 10:57 mark.
Xavier Cooks had 21 points and nine rebounds for Winthrop (13-9, 7-4), which had won six straight before facing the Flames.
Cook with 21, Missouri St. rolls past Loyola-Chicago 70-35
Keandre Cook scored 21 points on five 3-pointers and grabbed eight rebounds as Missouri State cruised to a 70-35 win over Loyola of Chicago Wednesday night.
Reuvers scores 22 to lead Wisconsin past Illinois 72-60
Nate Reuvers scored a game-high 22 points and grabbed 10 rebounds and Wisconsin beat Illinois 72-60 on Wednesday night.
Talton, Babic spark Texas A&M CC rally past Nicholls 75-73
Jashawn Talton and Jake Babic scored 18 points apiece and Texas A&M Corpus Christi rallied down the stretch to defeat Nicholls State 75-73 Wednesday night.