Vacation rentals in Hagerman Heights

I want to make sure I’m accurate. I can’t find reliable information about a place called “Hagerman Heights” in New Mexico. Could you confirm whether this is a neighborhood near Hagerman, a newly named area, or provide a couple of details (nearby towns, parks, or attractions)? I can then write a precise 2–3 sentence blurb. If you’d prefer, I can also draft a generic New Mexico vacation-rental blurb you can tailor once specifics are confirmed.