It was almost the Irish celebrating three minutes earlier.
Josie Krupp rifled a shot off the crossbar from 20 yards out with 8:15 remaining in the second OT, but the Rams did not allow another shot.
Badin hammered away in the second half, outshooting Catholic Central 5-2, but could not find the back of the net.
Macy Harper had the first crack for the Rams in the second half when she rifled a direct kick from 35 yards out that went just over the top of the crossbar.
Woeber kept the game even, making a diving save on a shot by Badin’s Jamie Lehker with 17:21 remaining.
The Irish applied pressure at the end of regulation with Krupp and Sydney Yontz both getting open looks off set pieces, but Badin keeper Abby Lampe was equal to the task both times to send the game into overtime.
Both teams tried getting into the flow of the game early, but neither had open scoring opportunities until the Irish were able to get on the board at the 29:17 mark when Krupp collected the rebound and pounded it into the lower left corner for a 1-0 lead.
Badin scored the equalizer with 9:38 remaining in the half when Harper’s shot to the lower left corner just ticked off Woeber’s fingertips.
Badin will face Waynesville for a district championship at Lakota West on Saturday at 3 p.m.