Baker is now 1-2-1 on the year, while the nationally ranked Cougars leave Baldwin City with a 2-1-1 record.
The 'Cats will take on another NAIA ranked squad next time out, as they host No. 6 Concordia (Calif.) University on Friday at 7 p.m. inside Liston Stadium.
The match featured 37 total fouls, with Columbia being whistled for 16 and the Wildcats for 21.
The Cougars scored its first goal in the 25th minute when Inaki Suarez scored a goal past Matt Bickley to put CC up 1-0.
Andy Griffin tied things up with a penalty kick goal in the 60th minute to knot the score at 1-1. That goal actually marked the second straight match that the senior knocked home a penalty kick goal. He scored one against Oklahoma City two days ago at North Park.
From that point on neither team could find the back of the net, but both teams had chances.
Baker took five shots in the second period and then two more in the first and second overtime each. They held CC to just two shot attempts in the second half and only one in the second OT.
Bickley had two saves on the day and Baker allowed just eight total shots to the Cougars.
As a team BU took 14 shots with Ben Coyle and Kyle Young leading the way with three apiece.