Reed followed with back-to-back goals before the break as the Spartans took a lead it would not relinquish.
Kayla Komenda and Torri Halaquist scored three minutes apart early in the second half for Unatego (8-0 MAC), which finished with an 18-5 advantage in shots.
Walton (1-11, 1-7) visits Unatego on Monday.
UV 1, Greene 0
Sierra Badger’s unassisted goal less than 15 minutes into the first half stood as Unadilla Valley earned a Midstate Athletic Conference victory at home.
“We played our best game of the season tonight,” said UV coach Diane Hayes, whose team finished with a 13-7 edge in shots and a 7-2 advantage in corner kicks.
Abbie Oglesby stopped three shots in the shutout for the Storm.
Edmeston 1, Laurens 1
Amanda Tersigni scored an unassisted goal 5:33 into the second half, setting up two scoreless overtime periods as Edmeston and host Laurens tied in the Tri-Valley League.
Catherine Johnson made eight saves for the Panthers, who gave up the tying goal early in the second half. Lynzi Poje’s equalizer came 4:31 after halftime, when she headed in a corner kick from Taylor Kessler.
Courtney Sherry made five saves for the Leopards (2-7-2, 2-7-2), who visit Franklin on Tuesday.
CV-S 3, Schenevus 1
Lauren Loucks, Zane Ashford and Chelsea Zembower scored for host Cherry Valley-Springfield, which won its sixth straight game.
Loucks converted a pass from Jordan Loucks 4:10 into play to open the scoring. Ashford then made it 2-0 on a penalty kick with 17 minutes remaining in the first half.
Sierra Bentley pulled Schenevus to 2-1 with a penalty-kick goal 6:44 after halftime, but Zembower followed with an unassisted goal with 32:59 remaining.
The Patriots (10-1-1, 8-1-1) visit Worcester on Tuesday.
Davenport 1, H-T 1
Davenport’s Bailee Hymers and Hunter-Tannersville’s Audra Rossignol scored second-half goals to set up a pair of scoreless overtime periods as the Delaware League battle of the Wildcats ended in a 1-all tie.