Where the Term or Interest of any Tenant now or hereafter holding under a Lease or Agreement in Writing any Lands, Tenements, or Hereditaments for any Term or Number of Years certain, or from Year to Year, shall have expired or been determined either by the Landlord or Tenant by regular Notice to quit, and such Tenant, or any one holding or claiming by or under him, shall refuse to deliver up Possession accordingly, after lawful Demand in Writing made and signed by the Landlord or his Agent, and served personally upon or left at the Dwelling House or usual Place of Abode of such Tenant or Person, and the Landlord shall thereupon proceed by Action of Ejectment for the Recovery of Possession, it shall be lawful for him, at the Foot of the Writ in Ejectment, to address a Notice to such Tenant or Person requiring him to find such Bail, if ordered by the Court or a Judge, and for such Purposes as are herein-after next specified; and upon the Appearance of the Party on an Affidavit of Service of the Writ and Notice, it shall be lawful for the Landlord producing the Lease or Agreement, or some Counterpart or Duplicate thereof, and proving the Execution of the same by Affidavit, and upon Affidavit that the Premises have been actually enjoyed under such Lease or Agreement, and that the Interest of the Tenant has expired, or been determined by regular Notice to quit, as the Case may be, and that Possession has been lawfully demanded in manner aforesaid, to move the Court or apply by Summons to a Judge at Chambers for a Rule or Summons for such Tenant or Person to show Cause, within a Time to be fixed by the Court or Judge on a Consideration of the Situation of the Premises, why such Tenant or Person should not enter into a Recognizance by himself and Two sufficient Sureties in a reasonable Sum conditioned to pay the Costs and Damages which shall be recovered by the Claimants in the Action ; and it shall be lawful for the Court or Judge upon Cause shown, or upon Affidavit of the Service of the Rule or Summons in case no Cause shall be shown, to make the same absolute in the whole or in part, and to order such Tenant or Person, within a Time to be fixed, upon a Consideration of all the Circumstances, to find such Bail, with such Conditions and in such Manner as shall be specified in the said Rule or Summons, or such Part of the same so made absolute; and in case the Party shall neglect or refuse so to do, and shall lay no Ground to induce the Court or Judge to enlarge the Time for obeying the same, then the Lessor or Landlord filing an Affidavit that such Rule or Order has been made and served and not complied with shall be at liberty to sign Judgment for Recovery of Possession and Costs of Suit in the Form contained in the Schedule (A.) to this Act annexed, marked No. 21, or to the like Effect.