Saturday early voting for the May 22 election Advance, in-person voting will be at the Jeff Davis County Courthouse from 9 a.m.–5 p.m. April 30 through May 18. Also, Saturday, May 12, from 9 a.m.–4 p.m. Polls will be open from 7 a.m. until 7 p.m. election day. May-12-18 9:00 am - May-12-18 4:00 pm