When a written statement of objections has been given in, as in this section provided, the Collector, after holding any further inquiry which he may deem necessary, shall pass such order in respect of such objections as to him shall seem fit; and, if the objections shall seem to him not to be well-founded, shall direct that all expenses of such further inquiry, and all expenses entailed on any other person by such inquiry, shall be recovered from the person who made the objection.