Hi Worm!
Bobcat's directions were good, but I can save you an hour or more out of Columbus to West Virginia. I used to have a sales route and went this way twice a week.
From Columbus: Take 270 to US 23 South. (Speed trap in South Bloomfield, 20 minutes south). Take 23 all the way to Chillicothe, about 1hr. At Chillicothe, take US 35 South or East, whichever its marked. There is a 12 mile stretch of 2 lane, then 4 lanes to the Ohio River. There is a McDonalds at Rio Grande and a rest stop 5 miles further. In West Virginia, 35 becomes 2 lanes for 35 miles. The first ten are curvy, then it straightens, straight for WV anyway. After around the 35 miles, turn right onto state route 34. There is a stop light at this intersection, I think its the first one you come to in WV. Go 5 miles to I-64. This is a good place for food or potty breaks. Follow 64 East to Charleston, WV and you'll see the intersection for I77 South.
Fill up with gas in Columbus and Stop again at Exit 77 in Wytheville, VA. In VA, be careful, because I-77 and I-81 run together for a few miles. You'll have to exit right for I-77 South.
Have a good trip!!! The Ohio Route will save you over an hour. Email me if you have any questions.