Beers scored four minutes in, heading in a cross from Jessica Downin. Beers then headed in her second four minutes later off a corner kick from Mariah McNeilly.
Downin made it 3-0 at the 13-minute mark, scoring from 20 yards.
Tessa Buck scored on a breakaway 12 minutes into the second for Richfield Springs.
Franklin (5-0, 5-0) will play at Schenevus on Friday.
Laurens 0, Worcester 0
Laurens’ Courtney Sherry and Worcester’s Kerrin O’Shaughnessy finished with seven saves apiece as the Tri-Valley League squads played to a tie at Laurens.
“Both of us had some good opportunities, but neither team could capitalize,” Laurens coach Scott Bolton said.
The Leopards (1-4-1, 1-4-1) will host Cherry Valley-Springfield on Friday.
Cooperstown’s girls earned Center State Conference victories over Hamilton (20-incomplete), Remsen (21-40), Clinton (21-39) and Sherburne-Earlville (15-incomplete).
Samantha Fanion led the way for Cooperstown, finishing second in 20 minutes, 59 seconds over a 3.0-mile course. Sage Hurta of Hamilton won in a course-record 19:46, beating the previous record of 20:31 set by Fanion last season.
“I was pleased with how well she did,” Cooperstown coach Jessie Ravage said of Fanion.
Kristin Ratliff placed third for Cooperstown in 21:09 and Jaime Zoltick was seventh, running a personal best on her home course of 22:38.
Cooperstown’s boys earned victories over Hamilton (26-31) and Remsen (17-incomplete). Cooperstown fell, 16-43, to Clinton.
Jacob Russell led the way for Cooperstown, finishing seventh in 20:39. Clinton’s Jack Yaworski won in 18:15.
Cooperstown will travel to Poland on Wednesday.
Sidney 2, Hancock 0
Nicole Smith and Breanna Voltz scored to lead host Sidney to a Section Four Conference victory.
The Warriors (2-3, 1-1), who received assists from Dawn Savino and Katy DeShaw, held a 33-2 advantage in shots.
at Sidney CC
Trenton Stillman shot a 42 for Sidney, which lost to Harpursville, 225-229, in a Midstate Athletic Conference match.
Kyle Smith contributed a 45 for the Warriors (4-2), who will host Hancock on Tuesday.
Cody Hawkins’ 41 paced Harpursville.