Unofficial Grimes County election totals with all vote centers reporting, according to the Grimes County Elections Office: With 12,459 ballots cast and 18,128 registered voters in Grimes County, the preliminary numbers show 68.73 percent turnout. See more results on page 6. U.S. SENATOR John Cornyn (R) — 9,324 votes — 76.07% Total Votes: 12,259 U.S. REPRESENTATIVE,