The remains of the late President will lie in state in the Rotunda of the Capitol until 3 o'clock p.m. on Friday, the 23d instant, when they will be borne to the depot of the Baltimore and Potomac Railroad and thence conveyed to their final resting place at Cleveland, Ohio. Order of Procession. FUNERAL ESCORT. (Under command of Brevet Major-General R.B. Ayres.) Battalion of District of Columbia Volunteers. Battalion of marines. Battalion of foot artillery. Battery of light artillery. CIVIC PROCESSION. (Under command of Chief Marshal Colonel Robert Boyd.) Clergymen in attendance. Physicians who attended the late President. Guard of honor. Guard of honor. Hearse. Bearers. Bearers. (The officers of the Army, Navy, and Marine Corps in the city, and not on duty with the troops forming the escort, in full dress, will form, right in front, on either side of the hearse--the Army on the right and the Navy and Marine Corps on the left--and compose the guard of honor.) Family of the late President. Relatives of the late President. Ex-Presidents of the United States. The President. The Cabinet ministers. The Diplomatic Corps. The Chief Justice and Associate Justices of the Supreme Court of the United States. The Senators of the United States. Members of the United States House of Representatives. Governors of States and Territories and Commissioners of the District of Columbia. The judges of the Court of Claims, the judiciary of the District of Columbia, and judges of the United States courts. The Assistant Secretaries of State, Treasury, and Interior Departments. The Assistant Postmasters-General. The Solicitor-General and the Assistant Attorneys-General. Organized societies. Citizens and strangers. The troops designated to form the escort will assemble on the east side of the Capitol and form line fronting the eastern portico of the Capitol precisely at 2 o'clock p.m. on Friday, the 23d instant. The procession will move on the conclusion of the religious services at the Capitol (appointed to commence at 3 o'clock), when minute guns will be fired at the navy-yard by the vessels of war which may be in port, at Fort Myer, and by the battery of artillery stationed near the Capitol for that purpose. At the same hour the bells of the several churches, fire-engine houses, and the schoolhouses will be tolled. The civic procession will form in accordance with directions to be given by the chief marshal. The officers of the Army and Navy selected to compose the guard of honor and accompany the remains to their final resting place will assemble at 4 p.m. at the Baltimore and Potomac Railroad depot, where they will receive the body of the late President and deposit it in the car prepared for the purpose. ROBERT T. LINCOLN, _Secretary of War._ WILLIAM H. HUNT, _Secretary of the Navy._ J. DENT, _President Board of Commissioners District of Columbia._ [From the Washington Post, September 23, 1881.] Circular.