I stand corrected on hogs being mentioned in the regs. This is what I found with regards to Nuisance Species,

Nuisance Species

The following animals: house mouse, Norway rat, black rat, coyote, groundhog, nutria, feral hog, European starling, English sparrow, mute swans and pigeon (rock dove) are designated as nuisance species and may be taken at any time (except on Sunday) by use of a firearm or other weapon and on some public lands during certain time periods, see National Forest-Game Department Regulations.
Feral hogs (also called wild hogs) are classified as nuisance animals in Virginia and it is illegal to release hogs to the wild in Virginia. However, several populations of feral hogs exist in the state and DGIF encourages the harvest of as many of these animals as possible. Feral hogs damage wildlife habitats and crop fields and can transmit diseases to other species, including humans. To hunt feral hogs, a hunter must have a hunting license and landowner permission. There is no closed season or daily bag limit on feral hogs, although hunting is not lawful on Sunday. Also, on Department-managed and national forest lands, it is unlawful to have a bow or gun which is not unloaded and cased or dismantled except when it is lawful to take bear, deer, grouse, pheasant, quail, rabbit, raccoon, squirrel, turkey, waterfowl, or migratory game birds.