In all cases where, as provided in section 54 of this title, the field notes, maps, records, and other papers appertaining to land titles in any State are turned over to the authorities of such State, the same authority, powers, and duties in relation to the survey, resurvey, or subdivision of the lands therein, and all matters and things connected therewith, as previously exercised by the surveyor general, whose district included such State, shall be vested in, and devolved upon, the Secretary of the Interior or such officer as he may designate.