Paige Wilcox had three goals to pace Greene, which entered halftime tied with the Warriors at 1.
Walton (0-5, 0-3) visits Unadilla Valley on Monday.
SK 3, Windham 1
Brianna Laing scored two goals to lead visiting South Kortright to a Delaware League victory.
Windham’s Natalie Vining made an 18-yarder with 10:11 remaining in the first half to tie the match at 1. Laing then scored the go-ahead goal with 22:45 to go.
“We saw more shots in the second half than we did in the first half,” said Windham coach Jim Todaro, whose team also gave up a goal to Tori Rockefeller.
Windham (1-2, 1-2) will face Stamford in the Hunter-Tannersville Booster Club Tournament at noon on Saturday.
The winner will face Hunter-Tannersville in the championship match the following weekend, when Sharon Springs will play the loser in the consolation.
Davenport 2, Stamford 1
Sarah Haight and Bailee Hymers each scored in the first half to lead visiting Davenport to a Delaware League victory.
Haight made it 1-0 with 28 minutes to go before halftime, and Hymers scored with seven minutes left in the half.
Kim Freer cut Stamford’s deficit in half on a 12-yard goal with 25 minutes left.
“Best game I’ve seen in a long time,” Stamford coach Jeff Gearhart said.
The Indians (2-4, 1-2) will face Windham in the Hunter-Tannersville Booster Club Tournament at noon Saturday.
Gilboa 4, Jefferson 1
Kim Gockel, Taylor Mattice, Makayla Foster and Kira Weaver scored to lead visiting Gilboa to a non-league victory against Delaware League rival Jefferson.
Emily Wenner scored in the second half for the J-Hawks (1-5-1), who will visit Gilboa on Tuesday for a league game.