The Panthers (10-9) took a 19-10 lead after one quarter. Hawes had eight points in the first quarter.
Gilboa (11-8), led by Christian Cooper’s 10 points, fell behind by 11 points at halftime before outscoring Edmeston, 14-8, in the third quarter.
The Wildcats, who received seven points and nine rebounds from Tyler Latta, closed to three points in the fourth quarter.
But Fallon scored seven points over the final eight minutes to help keep the Panthers in the lead.
“We knew they were hurt early on and that their record was not indicative of how good they were,” Gilboa coach Andy Dumas said. “Their height bothered us. They had a couple of big kids.”
Next for Edmeston is a semifinal matchup with 10th-seeded Marathon on Wednesday at Oneonta State.
“Nothing, to be honest with you,” Belden said of what he knows about the Olympians, who’ve beaten seventh-seeded South Kortright and No. 2 Margaretville to advance to the semifinals. “I’ll have to try to call around and see what I can find out.”
Ryan Sanford had 13 points and 14 rebounds, and Mitch Hull finished with 12 points and nine rebounds, but No. 2 Margaretville lost at home in a sectional quarterfinal Saturday.
“They were good,” Margaretville coach Jeremey Marks said of a Marathon squad that recently lost, 65-61, at Oneonta High in a non-league game. “They’re better than their record. Their league (the Interscholastic Athletic Conference) has Bs and Cs. It was a tough game. They have good players and they’re balanced inside and out.”
The Blue Devils (16-3), who beat South Kortright to win the Delaware League championship, fell behind, 14-7, after one quarter. They responded by outscoring Marathon, 24-19, in the second quarter.
Sanford had nine points, Hull had six, Matt VanValkenburg contributed five and Kyle Short (five assists) chipped in four in the second quarter.