The chief administrative officer of a Texas County, as set up in the Texas Constitution, is the County Judge, who sits as the chair of the county's Commissioners' Court (the equivalent of a Board of Supervisors in some other states).
Other elected positions in Harris County include a County Attorney, a County Clerk, a District Attorney, a District Clerk, a Sheriff, 8 Constables, a Tax Assessor-Collector, a County Treasurer, and every judge in the county except municipal judges, who are appointed by the officials of their respective cities.