When and where to vote in Mesquite for the May 1 school board election Early voting begins April 19. Voters in Mesquite will decide who should represent them on the Mesquite ISD Board of Trustees next month.(Ben Torres/Special Contributor / DMN) Voters in Mesquite will decide who should represent them on the Mesquite ISD Board of Trustees. Here is a look at when and where to vote starting April 19. Election Day is May 1. April 24, 8 a.m. to 5 p.m. April 26, 7 a.m. to 7 p.m. April 27, 7 a.m. to 7 p.m. Places Dallas County Clerk, 509 Main St., Dallas Election Day Vanston Middle School, 300 E. Davis St., Mesquite