Grimes County COVID-19 cases rise to 63 Posted in: COVID-19News Grimes County COVID-19 cases are rising rapidly, with over half the cases reported at Texas Department of Criminal Justice. Grimes County Emergency Management released seven new positive cases Friday, May 15, with five of those in TDCJ facilities. There are now 63 total cases in Grimes County. According to the press ...PLEASE LOG IN FOR PREMIUM CONTENT. Our website requires visitors to log in to view the best local news. Not yet a subscriber? Subscribe today!