Perrot rolled in a 3-foot par putt at the 18th to close with an even-par 71 and finish at 14-under 270 at The Ridge Golf Course, becoming the 10th first-time winner on tour this year.
"It was a fast putt, a tough putt. But it was straight," said Perrot, the 2001 US Girls champion who won two events on the Futures Tour last year and earned her card by finishing third on that tour's money list.
After making the decisive putt, Perrot pumped her fist, dropped to her knees for a moment and then accepted a hug from her caddie.
Liselotte Neumann (72) and Catriona Matthew (68) tied for third at 10 under, while Lindsey Wright (70) and Ahn Shi-hyun (67) were another shot back.
Jay Haas rallied with a 7-under 65 for his first Champions Tour victory, a two-stroke win over Dana Quigley at the Greater Hickory Classic.
The 51-year-old Haas, who splits time between the PGA Tour and the 50-and-over tour, finished with a tournament-record 16-under 200 at Rock Barn Golf and Spa's Jones Course. He beat the previous mark of 14 under, set last year by Doug Tewell.
The victory ended Haas' 12-year, 302-event winless streak in Tour-sanctioned tournaments.
Quigley, the second-round leader, shot a 2-under 70. Loren Roberts moved into the lead early in the third round, but fell off the pace after a triple bogey at No. 6, finishing third at 203 after a 70.
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