Both are jasper. The smaller one on the left is a grainier variety of jasper. Given your location the most likely source is the Bonnefont jasper in Powhatan County. Other known sources in you general vicinity are Brook Run in Caroline County and Cattail Creek/Williamson in Dinwiddie County (known as a chert source, but there is jasper mixed in the deposit). It could also be from an unknown source, random pieces of jasper turn up here and there throughout the area.
Are the bases ground? Both appear to be lanceolot forms with at least some serious attempt at basal thinning, if not actual flutes on one side. That would point toward late paleo or what is also called transitional paleo--basically the period between "Clovis" and "early archaic". One of the regional names for these is "Appomattox River". Also what McAvoy calls "Carson Lanceolate" .
Painting with a somewhat wide brush, generally speaking when you find "exotic" materials on a site in Central Virginia it does tend to point toward paleo or early archaic. The people then seemed to have a larger area to roam around in than later groups did, who were then forced to use local material more.