NY 31B began at an intersection with its parent route , NY 31 , in the Cayuga County village of Weedsport . The highway went eastward , intersecting with NY 34 less than 0 @.@ 1 miles ( 0 @.@ 2 km ) later . Much of Weedsport was urbanized , with the highway passing residential homes and businesses as it progressed eastward through the village . The highway intersected with CR 12B before leaving Weedsport and entering the town of Brutus as Brutus Road .