The weather station is inside a fence in the observing field. It's listed on the WeatherUnderground as Scottsburg, VA. (In reality, Scottsburg is 10miles west of the park.) The image here is a clickable link to more weather info.
Note: 28 Sep 2014. This page has been producing nonsense since Aug 2014. The information here is scraped off the Weatherunderground website. Every now and again the Weatherunderground makes gratuitous changes to their website breaking my page here. I then have to figure out what they've done and fix my pages. I this case they made a rather big change and I had to totally rewrite my scripts.
More info about Staunton River State Park: