United States, to any citizen thereof, or to any corporation created by or under the laws of the United States or of any State or Territory thereof, and the offenders are found in the Virgin Islands or are brought into the Virgin Islands after the commission of the offense. * 30. {Same; appeals from district court) Appeals from the District Court of the Virgin Islands shall be as provided by law in force on the date of enactment of this Act: Provided, That no appeal shall be predicated upon the existence of a right of appeal under the law of Denmark. ** 31. (Same; Jury trials in criminal cases) In any criminal case originating in said district court, no person shall be denied the right to trial by jury on the demand of either party: Provided, That if no jury is demanded the case shall be tried by the court without a jury: Provided further, That the judge of the district court may, on his own motion, order a jury for the trial of any criminal action: Provided further, That the respective municipal councils of Saint Croix and of Saint Thomas and Saint John may provide for trial in misdemeanor cases by a jury of six qualified persons. 32. (Same; jurisdiction of inferior courts) The inferior courts shall have jurisdiction concurrent with the district court in all civil cases in which the principal sum claimed does not exceed $200, and of all criminal cases wherein the punishment that may be imposed shall not exceed a fine of $100 or imprisonment not exceeding six months, all violations of police regulations and executive regulations, and any cause or offense wherein jurisdiction hereafter shall have been conferred by local law. Such inferior courts shall hold preliminary investigations in charges of felony and charges of misdemeanor in which the punishment that may be imposed is beyond the jurisdiction granted to the inferior courts by this section, and shall commit offenders to the district court and grant bail in bailable cases. The rules governing said courts and prescribing the duties of inferior judges and inferior court officers, oaths, and bonds, the times and places of holding such courts, the disposition of fines, costs, forfeitures, enforcement of judgments, providing for appeals therefrom to the district court, and the disposition and treatment of prisoners shall be as established by law or ordinance in force on the date of enactment of this Act or as may hereafter be established by law or ordinance by the municipal council having jurisdiction. * 33. {Same; appeals from inferior courts) Appeals in civil and criminal cases from the judgments and rulings of the inferior courts shall be to the district court and shall be taken in accordance with the laws and ordinances of the respective municipalities: Provided, That the right of