West Virginia voters can take advantage of the opportunity cast their ballot prior to the May 10th Primary. Beginning April 27 and continuing through May 7, Hancock County voters may vote at the Hancock County Courthouse, 102 N. Court St. New Cumberland where the Election Office will be open Monday – Friday, 8:30 a.m. – 4:30 p.m. and Saturday 9 a.m. – 5 p.m.