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.
Ladner takes over as Southern Miss head coach
Jay Ladner, who coached Southeastern Louisiana the past five years and led the Lions to a Southland Conference regular-season title in 2018, has been hired as Southern Mississippi's head coach.
Sources: St. John's, Anderson working on deal
St. John's is in negotiations with former Arkansas coach Mike Anderson for its head-coach opening, sources confirmed to ESPN.
Source: Texas Tech's Moore hits transfer portal
Texas Tech freshman Khavon Moore has entered the transfer portal, sources told ESPN.