The New York State Senate today passed a resolution requesting President Lincoln to make arrangements for the immediate exchange of prisoners. Bills were introduced in the House appropriating twenty-five thousand dollars to furnish the prisoners of the State held by the rebels with provisions, etc., and to support the volunteers' families by a State tax; also, a resolution asking Congress for an appropriation for harbor and border defences.
 Simon Cameron resigned his position as Secretary of War to-day.--Edwin M. Stanton, of Pennsylvania, was appointed to fill his place.--N. Y. Tribune, January 14.
The steamship Constitution with the Maine Twelfth and the Bay State regiments, sailed from Boston, Mass., at seven o'clock this morning for Fortress Monroe.