Woodely, who hit 8-of-12 field goals, also had three blocks. West was 5 of 10 from the floor as Northwestern State (16-13, 12-6 Southland) made 50 percent of its field goal attempts.
Northwestern State led throughout most of the second half but ORU stayed close, climbing within four (82-78) following a 3-point shot by Adrion Webber with 37 seconds remaining. West then made four consecutive free throws and Woodely made two more for the win.
The Demons secured a fourth-place finish in conference which will give them a first round bye in the conference tournament, beginning March 12.