Carter added another for the Crimson before the inning was out, cranking a line drive down the third base line to score Franey from second and open an early 2-0 lead.
The Quakers replied with runs of their own in the second, fourth, and fifth innings to take their first lead of the game, 3-2.
Franey tied the game at 3-3 with a homerun in the fifth before the Quakers took a 5-3 lead in the top of the seventh with a two-run shot from senior catcher Jeff Gregorio.
Freshman right-hander Ryan Tsujikawa (1-0) picked up his first collegiate win.
Harvard 4, Penn 2
Crockett earned the 4-2 win for the Crimson, pitching a complete game six hitter and striking out half a dozen without allowing walk.
"On a cold day, it's always good to throw the fastball inside on the hands," Crockett said. "No one ever likes to hit a fastball inside on a cold day. We worked in and out all day and threw a lot of strikes."
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