Everything provided under any local Act of Parliament in force on the twentieth of August, one thousand eight hundred and thirty-six, to be done exclusively by a particular or limited number, class, or description of the members of any body corporate named in the schedules to the Municipal Corporations Act, 1835, the continuance of which was not inconsistent with the provisions of that Act, and everything provided in any such local Act to be done by the justices, or by some particular class or description, or members of such body corporate, being justices, at a court of quarter sessions, which did not relate to the business of a court of criminal or civil judicature, if the same respectively has been lawfully continued to be done up to the commencement of this Act by the council, or a committee thereof, shall be continued thereafter to be done by the council at a quarterly meeting, or by any three of a committee of the council appointed at such a meeting.