Green Hills is the Hillsboro Pike corridor plus the residential streets that feed it. I describe the edges the way most people already do: Interstate 440 on the north, Harding Place on the south, Estes Road on the west, and Lealand Lane on the east. Those are map lines, not a preferred list.
The older commercial picture is a 1950s strip that grew into a mixed corridor of shops, offices, restaurants, and a mall. I still use Hillsboro Pike as the landmark. I do not sell a mall interior as the neighborhood.
I name Green Hills because it is the neighborhood I publish. I do not steer anyone to a street, a school, or a block. You give me written housing criteria (beds, baths, budget, timing, property type) and I show you the houses that match.