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.
Jim Calhoun, who has a career record of 873-380 and led UConn to three national titles before retiring in 2012, has been hired as coach at Saint Joseph.
Pac-12 commissioner Larry Scott believes a tentative ruling making show-cause orders illegal in California would threaten NCAA membership for state schools.
Guard James Bouknight, ranked 87th in the ESPN 100, is the first player from the Class of 2019 to commit to UConn and first-year coach Dan Hurley.