Not a tremendous amount of fossils in this area of Virginia, at least not really accessible ones. This area is Piedmont, and is a lot of sedimentary overburden from the decay of the Appalachian mountains. Basically lots of clay shot through with quartz nodules and a lot of other igneous rocks below that, like granite and schist.
Essentially, this area was on the front line of the Laurasian landmass's split from Africa in the Triassic and Jurassic period, or about 220 million years ago.
It's a lot different here than it was in Central Pennsylvania where I grew up. There there are LOTS of fossil beds. Around 400 million years ago that area was under a vast shallow inland sea, which gave Pennsylvania its head start in coal deposits and the vast layers of limestone that underlie much of the eastern part of the state.
There was a shale quarry in the western part of my county that had an incredible number of fossils, including some beautiful trilobites.