Abbey Allen Photography. Mother Swan, Town Pond, East Hampton, NY. Here is the infamous Town Pond swan and her babies. Town Pond is located right in the middle of town and is visable by everyone. For quite a while now there has been a flock of baby swans in the pond every spring laied by the single pare of swans that call the pond home. Its crazy how people follow them! The local paper even runs stories on them every year giving up to date info on the nest, eggs, and babies. Here they are pictured going for one of their first swims.