Vacation rentals in Cedar Hill

Could you confirm the county or nearby town for Cedar Hill, New Mexico? There are a few places with similar names, and I want to make sure the blurb is accurate. If you’d like a ready-to-use version now, here is a safe, generic 2-3 sentence blurb: Cedar Hill, New Mexico offers a quiet, rural setting that's ideal for a relaxing getaway. Guests will find open spaces and easy access to outdoor recreation, framed by the expansive New Mexico skies.