20th COVID-19 case in Grimes County, second in Navasota Posted in: COVID-19News Grimes County Emergency Management Coordinator David Lilly reported Friday, May 1, a new positive case of COVID-19 within Grimes County, raising the total to 20 confirmed cases. According to Lilly the individual is a male in his 50’s residing in the Navasota city limits, ZIP code 77868. Lilly stated the individual ...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!