The Raiders (6-2-1) led 1-0 and 2-1, but each time they pulled ahead, the Titans (5-4-1) pulled even.
Hailey had opened the scoring in the 14th minute, sending a high free diagonal kick on goal under the cross bar and out of the reach of the UWO keeper.
The lead would be short-lived as Oshkosh's Robyn Elliott freed her sister Rachel down the near side. Rachel Elliott raced into the box and blasted a shot far post to tie the game in the 20th minute.
MSOE would push back in the lead just over six minutes later. Junior Carley Mitus slipped a pass through the Titan defense for Travia. As she entered the box, she beat the on-rushing keeper to the far post.
Once again, the visitors pulled event, this time in the 37th minute. Rachel Elliott hit a shot from outside the box. Junior Mary McFee was a low diving save to her right, but Maddie Morris was there to tap in the rebound.
The second half captured much of the back-and-forth nature of the first half, but without the scoring chances. The overtime periods progressed the same way, with some drama in the closing seconds. McFee made a sprawling save to thwart a last-second shot and the ensuing rushed corner kick went for naught as the teams played out the draw.
MSOE held a slight shot advantage, 21-20, but put six more shots on goal, 13-7. Corner kicks were 5-3 in the Titans' favor. McFee ended with seven saves on the night, while a pair of keepers combined on 13 saves for UWO.
The Raiders return to the field Saturday, hosting Alverno in a return to conference play.