Babcock debuted on February 11, 2011, against the Utah Utes, tossing 5 innings with three strikeouts for a victory.[7] As a sophomore, she set career season bests in nearly every category: wins, strikeouts, shutouts, innings pitched, ERA and WHIP. Babcock opened the 2012 season by beating the McNeese State Cowgirls on February 9 with a career high 9 strikeouts in regulation.[8] On March 3, Babcock no-hit the Charleston Cougars with 6 strikeouts in a run-rule victory.[9] Finally on April 14, Babcock defeated the No. 1 California Golden Bears with a 6 strikeout, three-hitter.[10] In 2013, the junior went 10 innings to best the UCLA Bruins and set a career best with 10 strikeouts on April 18.[11] For her final year in 2014, Babcock pitched in limited appearances but set a career best in strikeout ratio (6.3). She suffered her only loss that year in her final appearance in the NCAA Super Regional for the Wildcats. She tossed 6 innings and struck out 5 against the ULL Ragin' Cajuns on May 24.[12]