I should add that the County Judge is rarely actually a judge. In some small, rural counties, he or she will preside over a court, but this is actually just a title for the chief administrator of the county. Most counties in Texas have a County Court-at-Law that handles minor issues (misdemeanors, probate, etc.), similar to a municipal court for a city. The state district courts (also elected judges) handle felonies, etc. The only appointed judges in Texas are municipal judges.