You might be interested in this article on figs:
The Eastern Panhandle of West Virginia is in USDA Hardiness Zone 6. Figs are hardy from 8 to 11, or sometimes 6 or 7, depending on cultivar. So yes, once your fig tree loses its leaves in fall and goes dormant, before temperatures dip below 40 degrees F, move the tree into an unheated garage or cellar, in a dry spot. It will not need light during dormancy. Water the plant sparingly over winter, about every 3 to 4 weeks. Move the plant back outdoors once temperatures consistently are above 40 F in spring.
Fig trees may not produce edible, mature fruit until they are about 3 to 5 years old. It sounds like your tree does have the baby fruit starting, but these may not mature in time this season, since the fig needs to stay on the tree to ripen. If the fruit is larger than pea size, remove them before moving the plant indoors for winter, to help the plant conserve energy. Keep any fruit that is pea-size or smaller; if properly protected, these may survive the winter and grow to maturity the next year.