Vacation rentals in Midhampton

I can’t find a reliably verified place named Midhampton, New York. It may be fictional or misspelled. Could you confirm whether this is a real town or share a region or nearby landmark? In the meantime, here’s a neutral 2-sentence blurb you can use and adjust once you confirm details: “Midhampton, New York offers a relaxed small-town atmosphere with welcoming local spots and easy access to outdoor spaces. It’s a comfortable base for a short getaway, with convenient drives to nearby parks, trails, and attractions.”