The Midshipmen are followed by the famous United States Marine Corps, then the Old Guard of New York with Dodworth’s band, the Washington Light Infantry, the Corcoran Zouaves, the Washington Grenadiers, the St. Louis National Guard. The Philadelphia City Troop, in navy-blue jackets, tight knee-breeches, white braid trimming, high boots, bearskin helmets with silver mountings—the oldest regiment in the United States, two years older than the government, organized in 1774, and furnished men to every war of this country since. It was in the battles of Trenton and Princeton, in the Revolutionary War, and has in its armory a letter from General Washington thanking the regiment for its services. Now, the President’s mounted guard, in dark blue, yellow-trimmed uniform, regulation-hat and black feathers. Now, the President in open barouche, drawn by four horses, with the Senate Committee, Senators Cragin, Logan and Bayard. The President looks decidedly cooler than usual, and less indifferent; at least he has just lifted his hat to the shouting crowd in the street, which requires an impulse of self-denial this morning. Now come the Boston National Lancers. They have left their milk-white steeds there, and to their chagrin, no doubt, are mounted on sorry Virginian roans instead,—old road and car horses, who act dazed and daft under their light unwonted burdens. The Lancers are the oldest cavalry regiment of Massachusetts, organized in 1836, under Governor Edward Everett. This dashing looking squadron, which has the reputation of being one of the most perfect military organizations of the United States, is dressed in scarlet cloth coats, faced with a light blue and trimmed with gold lace, sky-blue pants with yellow stripes on sides, Polish dragoon cap, gold trimmings, flowing white feathers and _aiguillette_, cavalry boots with patent leather tops, white belts and shoulder straps; red epaulettes, with blue trimmings for the privates, and gold for the officers, and armed with cavalry sabre and lance, on which is appended a small red flag. The Albany Burgess Corps, another famous regiment, led by Capt. Henry B. Beecher, son of the Rev. Henry Ward Beecher, make a splendid appearance. They are uniformed in scarlet coats, trimmed with white, light blue pants, buff stripe, and bearskin shakoes, with gold clasp—similar to the celebrated English Coldstream Guards. But we shall not reach the capitol till next week, unless we leave the rest of this splendid procession,—the “orphans of soldiers and sailors,” the burnished and flower-garlanded fire-engines, the brave firemen, black and white, and the civic societies. The strangers who rushed on to inauguration, swarm the galleries till they overflow as they did on _Credit Mobilier_ days. Generals Sherman, and Sheridan and Admiral Porter; the first tall and red; the second, little, round, red and bullet-headed; the third, tall, straight and black, are all being intently gazed at.