Bauer's play helped erase a 3-1 deficit early in the third period. Just 13 seconds after OSU claimed its two-goal edge, Bauer set up sophomore forward Jinelle Zaugg for her second goal of the game and 20th of the season.
Junior forward Phoebe Monteleone tied the game at 9:47 in the third, for her first tally of the season.
An elbowing call against senior forward Nikki Burish at 19:31 in the third period was still on the clock to start the five-minute overtime, giving the Buckeyes a power play. But it was Bauer who capitalized, beating OSU netminder Erika Vanderveer to give Wisconsin a win in its first home game since Nov. 5, 2005.
Vanderveer finished with 23 saves, while UW senior netminder Meghan Horras had 21 stops.
The Badgers improved to 20-2-1 overall and 15-1-1 in the WCHA despite allowing three unanswered goals Friday.
Zaugg opened the scoring with a power-play goal at 19:33 in the first period. But OSU's Lisa Chesson and Jana Harrigan picked up goals in the second period and Jody Heywood made it 3-1 just 1:42 into the third period.
Iowa wrestlers score convincing win over Wisconsin
Wisconsin wrestlers lost 8 of 10 bouts to visiting Iowa Friday, as the Hawkeyes scored an impressive 24-7 dual victory at the Field House in Madison.
The Badgers' only wins came from Tom Clum at 133 pounds and Craig Henning at 157.
Iowa won four straight bouts to start the dual, opening a 12-0 lead. Clum then claimed a 12-4 major decision over Daniel Dennis to reduce Iowa's lead to 12-4.
But there would be no comeback from the Badgers. Iowa won four of the last five matches, with the only exception coming care of Henning, who upset No. 5 ranked Joe Johnson 7-2.
Wisconsin next hosts Northwestern, Sunday at 1 p.m. at the Field House.