And be it enacted, That any Person who shall think himself aggrieved by any Conviction in pursuance of this Act may appeal to the Justices at the next General or Quarter Sessions of the Peace, to be holden, not less than Twelve Days after such Conviction, for the County or Division wherein the Cause of Complaint shall have arisen, provided that such Person shall give to the Complainant a Notice in Writing of such Appeal, and of the Cause and Matter thereof, within Three Days after such Conviction, and Seven clear Days at the least before such Sessions, and shall also remain either in Custody until the Sessions, or within such Three Days find a Security, by Bail Bond before a Justice, personally to appear at the said Sessions, and to try such Appeal, and to abide the Judgment of the Court thereupon, and to pay such Costs as shall be by the Court awarded; and upon such Notice being given, and such Security being found, the Justice before whom the same shall be produced shall liberate such Person if in Custody; and the Court at such Sessions shall hear and determine the Matter of the Appeal, and shall make such Order therein, with or without Costs to either Party, as to the Court shall seem meet, and in case of the Dismissal of the Appeal, or the Affirmance of the Conviction, shall order and adjudge the Offender to be dealt with and punished according to the Conviction, and to pay such Costs as shall be awarded, and shall, if necessary, grant Warrant for enforcing such Judgment in common Form.