A song where WV is sung in the lyrics is John Denver's "Country Roads," but probably this is not the one. Songs in John Harrington Cox, Folk-Songs of the South (1925; reprint Dover, 1967) were "Collected under the auspices of the West Virginia Folk-lore Society," but I think most of them are not specifically WV songs. On WV country music, see Ivan Tribe's Mountaineer Jumboree: Country Music in West Virginia (University Press of Kentucky, 1984). In the index, there are "West Virginia," "West Virginia Feud Song," "Hail, West Virginia," "When the Sun Sets in West Virginia," "West Virginia Hills," "West Virginia My Home" (I like this Hazel Dickens song), and so on.

~Masato