Vacation rentals in Cutter Hill

I want to be sure I’m accurate, but I can’t verify that Cutter Hill is an incorporated town in New Hampshire. Could you confirm whether Cutter Hill refers to a hill or neighborhood within a particular town, or provide the nearby town’s name? Once I have that, I’ll draft a precise 2–3 sentence blurb highlighting generally verifiable, non-specific features (like four-season outdoor options and local charm) suitable for a vacation rental page. If you’d like a neutral template now, I can provide one you can customize after you confirm.