Throughout the first half, the Crimson fought doggedly to prevent the Big Red from opening a commanding lead.
After Cornell went ahead 5-1, Harper and Frisbie scored two minutes apart to cut the lead to 6-3.
With six minutes remaining in the half, Jamiee Reynolds scored to put Cornell in front 8-3.
Harvard once again demonstrated resilience, as Hagerman responded with a goal assisted by Lauren Corkery just 12 seconds later to cut the lead back to four.
Heading into halftime trailing 9-4, the game was still within reach for the Crimson if it could pull off a strong second half performance.
Cornell opened the half with a pair of quick goals in the opening five minutes to widen the lead to 11-4 and dash the Crimson's last hopes of a comeback.
Harvard made a small comeback in the middle of the second half to cut the lead down to 15-8 with nine minutes remaining.
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