The militia to be raised by virtue of this Act shall possess and enjoy the same rights and privileges as are reserved or granted to the militia raised by virtue of the said two Acts passed in the thirty-sixth and thirty-ninth years of the reign of His said late Majesty, by any lease or leases granted by the mayor, commonalty, and citizens of London, under which the honourable the artillery company now possess and enjoy the artillery ground situate in the parish of Saint Luke in the county of Middlesex.