Welcome to Barrington Apartments Beautiful sunny days can be spent lounging on your balcony or enjoying the park-like community grounds. Our pet-friendly homes come with amenities like professional on-site management, 24-hour emergency maintenance and on-site laundry facilities. Barrington Apartments’ central location makes it easy to take I-90 and travel to Rochester or Syracuse. Seneca Falls is also minutes away from Cayuga and Seneca Lake if you are looking to explore the Finger Lakes.