Greetings. Our MLS system has recently been revamped and property searches use Townships, instead of city locations, as one of the search parameters. Parkway School district encompasses several different townships - Elk, Stoney Fork, Boone, Brushy Fork, New River, Blue Ridge, some Blowing Rock, and Elk Creek Valley.
If someone is using REALTOR.com or a similar site to search property, it is not very compatible. Your best bet is to use a real estate website (may I recommend wwwcoldwellbankerblair.com?) and use the advanced research features for an MLS search, and it will show detailed parameters that you can select from, including schools.
Hope this helps - feel free to contact me directly if you have additional questions.