From the WV hunting regulations
HanDgun lawS anD REgulaTIOnS
Individuals who possess a valid concealed carry permit may carry a concealed handgun while afield hunting, hiking, camping, fishing or in or on a motor vehicle for purposes of self-defense only.
Only persons 21 years old or older are eligible for a Class A-1 stamp.
Only revolvers or pistols having a barrel at least 4 inches in length are legal for hunting.
While hunting, the licensee shall carry the revolver or pistol outside his/her outer clothing, in an unconcealed and easily visible place.
A revolver or pistol may be used only during established hunting seasons. Only single-shot muzzleloading pistols of .38 caliber or larger are legal for hunting deer during the muzzleloader season.
It is legal to hunt groundhogs in open fields with a revolver or pistol.
It is illegal to:
• take migratory game birds with a pistol.
• hunt between 1/2 hour after sunset and 1/2 hour before sunrise
with a revolver or pistol larger than .22 caliber centerfire.
• hunt bear, deer, or wild boar with a revolver or pistol using a straight-walled case of less than .357 magnum cartridge or a bottle-necked case of less than .24 caliber.
• hunt bear, deer or wild boar with a muzzleloading pistol of less than .38 caliber.
So it looks for deer you can use a an old army during open firearms season as long as the case is .357 or larger.