Alexandria Daily Gazette, Commercial & Political

Extra Session, Feb. 23, 1809.

Alexandria Daily Gazette.

TUESDAY, MARCH 7.

Arrangements of the new Cabinet.

Robert Smith, Esq. Secretary of State.

Dr. Eustis of Boston Secretary of the Navy.

Paul Hamilton, Esq. of South Carolina. Secretary of War.

Albert Gallatin is continued as secretary of the Treasury.

John Quincy Adams, Esq. has received the appointment of Minister to Russia.

On Saturday James Madison in obedience to the voice of his country, assumed the duties of President of the U. S.

The dawn of day was announced by a federal salute from the Navy Yard and Fort Warburton ; and at an early hour the volunteer corps of militia began to assemble. Such was the interest to be present at the Inauguration, that the whole area allotted to citizens in the Representative Hall was filled, and overflowing several hours before noon, the time assigned for that purpose, and it is computed that the number of persons surrounding the capitol unable to obtain admittance, exceeded ten thousand.— The Senate convened at 11 o'clock in the Chamber of the Representatives, Governor Milledge, the President pro tempore in the chair. Agreeably to arrangement the Senators were placed next to the chair, the late President of the U. S. on the right of the chair, foreign ministers and suite on the left, judges of the Supreme Court in front Heads of Departments on the right of the President of the Senate, members of the H of Representatives on the floor, and various other places assigned for other public characters and for Ladies.

Mr. Jefferson arrived about 12 o'clock. A short time before that hour, Mr. Madison left his own house, escorted by the troops of cavalry of the city and Georgetown, commanded by capt. Brent, and at 12 entered the representative hall, attended by the Secretary of the treasury, the secretary of the navy, the attorney general, and Mr. Coles. secretary to the late president, and introduced by a committee of the senate ; when Mr. Milledge left the central chair, and conducted Mr. Madison to it. Mr. Madison then rose and delivered the speech given above. The oath of office was then administered to him by Chief Justice Marshall : on which and as the president retired, two rounds of minute guns were fired. On leaving the capitol he found the volunteer militia companies of the district, nine in number, and in complete uniform, under the command of col. M'Kinney, drawn up, whose line he passed in review, when he entered his carriage and was escorted home in the same way he came.

A large concourse of ladies and gentlemen and Mr. Jefferson among the number, immediately waited upon him, among whom refreshments were liberally distributed. The company generally, after calling on the president, waited on Mr. Jefferson to take a last farewell before his departure.

In the evening there was a grand inauguration ball, at Long's Hotel, the most brilliant and crowded ever known in Washington, at which the late and present President of the U. States and foreign ministers were present by invitation. The company is supposed to have exceeded four hundred.

Mr. Madison was dressed in a full suit of cloth of American manufacture, made of the wool of Merinos raised in this country, his coat from the manufactory of col. Humphreys, and his waistcoat and small clothes