And be it further enacted by the Authority aforesaid That it shall and may be lawfull to and for the Mayor Recorder and Justices of the Peace of the said City for the time being or the greater Number of them whereof the Mayor or Recorder to be one from time to time and at all times hereafter to survey the said River from the said New Tower to the said Burton-Head and at their Discretion to remove all Impediments and Annoyances in the same and by Indictment or other legall Processe to punish the Offenders therein