Judicial Courts of Cortland County: Supreme, County, Surrogate's and Family prosecutes all crimes committed in the county, exclusive authority for felony trials shares authority with local city, town and village courts to handle trials in misdemeanor cases and other minor offenses and violations. limited authority to hear civil cases with monetary awards of $25,000 or less. appellate court for civil and criminal appeals from town and village courts and criminal, civil and small claims (under $25,000) matters from City Court.