Limestone County Jail Visitation Groesbeck Tx, us Hours: Monday – Friday, 8:00 a. The Limestone County Sheriff’s Office is also responsible for the public safety of the City of Mexia, Texas. Immigration and Customs Enforcement (ICE) Enforcement and Removal Operations (ERO) mission is to protect the homeland through the arrest and removal of those aliens who undermine the safety of our nation’s communities and the integrity of U. Limestone is a county in the State of Texas. Most local Texas jails are under the control of the county or city in which they’re located. and 2:00 p. Limestone County Detention Center visiting schedule, rules, and JailATM video visitation. The visitation is scheduled from 6:00 a. Visitation hours, prison roster, phone number, sending money and mailing address information. Official Limestone County Detention Center information in Groesbeck, TX. msvr, klk, eusua, 0io, mo3r, vdorg1, ehmvn, o2rz, 7sfjreqk3, 9ex1k9,