Houses And Apartments For Rent In Appomattox Virginia . The village, called appomattox court house, played an important part in us history when confederate general robert. Find houses for rent in appomattox, virginia. Lynchburg, VA Townhouses For Sale from www.homes.com Compare rentals, see map views and save your favorite apartments. Each apartments.com listing has verified availability, rental rates, photos, floor plans and more. 134 apartments rental listings are currently available.