NY 9H continues north through Claverack as a two-lane residential street, crossing CR 18 (Fish and Game Road) before turning to the northeast for a short stretch. The route remains rural for a short distance before entering the hamlet of Brick Tavern, where NY 9H intersects with NY 66 (Union Turnpike). NY 9H continues north through Brick Tavern, intersecting with the eastern segment of CR 20 and soon entering the Columbia County Airport area. Continuing north along the airport, NY 9H intersects with the western segment of CR 20, a former alignment and eastern terminus of NY 401. After leaving the airport area, NY 9H is now in the town of Ghent, passing Meadowgreens Golf Course before turning north into the hamlet of West Ghent. In West Ghent, the two-lane rural highway intersects with CR 22 before continuing into the town of Kinderhook.