[5] On November 12 and 13, 2010, Babstock made Quinnipiac program history as she accounted for six of the seven goals scored over the weekend via back-to-back hat-tricks against ECAC Hockey opponents No.

[7] With a second period goal versus the Colgate Raiders on November 19, 2011, Babstock became the Bobcats program's all-time leading scorer.

Breann Frykas scored the game-winning goal as the Bobcats bested the Robert Morris Colonials by a 3–2 tally.

[11] Competing in the Connecticut Whale's inaugural game on October 11, 2015, Babstock scored a goal in the third period of a 4–1 win against the New York Riveters.

Assisted by Kelli Stack, Babstock became the first Canadian-born player to score a goal in NWHL regular season play.

Babstock was affiliated with the Tri-State chapter of the Professional Women's Hockey Players Association (PWHPA) during the 2019–20 season but was not selected to participate in any of the organization's showcases or events.

[16] She joined four former PWHPA players already signed with the Six, including former Connecticut Whale teammates Shiann Darkangelo and Emma Greco.

[19] A number of issues plagued the league and the Riveters specifically during the 2020–21 season, which culminated in the team playing only two games.

She began pursuing American citizenship in her junior year of university, motivated by a desire to establish her post-college life in the United States.

"[24] In late-January 2021, Barstool Sports began a social media campaign targeting women with histories of reporting on or working for the NWHL.

Babstock became embroiled when she voiced support for Nardini and liked Tweets by Barstool-founder Dave Portnoy that arbitrarily called for her Riveters teammate, Saroya Tinker, to be jailed after Tinker stated she was not in favour of the NWHL associating with Barstool and called the outlet an "openly racist platform.