_Georgia._--A. Baldwin, John Milledge. _Tennessee._--William C. C. Claiborne. _Kentucky._--Thomas T. Davis, John Fowler. PROCEEDINGS IN THE SENATE. The first session of the Fifth Congress, under the Constitution of Government of the United States, commenced at the city of Philadelphia, agreeably to the Proclamation of the PRESIDENT OF THE UNITED STATES, of the twenty-fifth day of March last, and the Senate accordingly assembled on this day, being MONDAY, May 15, 1797. PRESENT: THOMAS JEFFERSON, Vice President of the United States, and President of the Senate. JOHN LANGDON and SAMUEL LIVERMORE, from New Hampshire. BENJAMIN GOODHUE, from Massachusetts. THEODORE FOSTER and WILLIAM BRADFORD, from Rhode Island. JAMES HILLHOUSE and URIAH TRACY, from Connecticut. ISAAC TICHENOR, from Vermont. JOHN LAURANCE, from New York. WILLIAM BINGHAM, from Pennsylvania. HENRY LATIMER, from Delaware. JOHN E. HOWARD, from Maryland. STEVENS T. MASON, from Virginia. ALEXANDER MARTIN and TIMOTHY BLOODWORTH, from North Carolina. JOHN HUNTER, from South Carolina. JOSIAH TATTNALL, from Georgia. The Senators whose names are subjoined produced their credentials on the 4th day of March last, and took their seats in the Senate, viz: Mr. FOSTER, Mr. GOODHUE, Mr. HILLHOUSE, Mr. HOWARD, Mr. LATIMER, Mr. MASON, Mr. ROSS, and Mr. TICHENOR. WILLIAM COOKE, appointed a Senator by the State of Tennessee, produced his credentials, and the oath required by law being administered, he took his seat in the Senate. _Ordered_, That the Secretary wait on the PRESIDENT OF THE UNITED STATES, and acquaint him that a quorum of the Senate is assembled. _Ordered_, That the Secretary acquaint the House of Representatives that a quorum of the Senate is assembled, and ready to proceed to business. A message from the House of Representatives informed the Senate, that a quorum of the House is assembled, and have elected JONATHAN DAYTON their Speaker. A message from the House of Representatives informed the Senate that the House have appointed a joint committee on their part, together with such committee as the Senate may appoint, to wait on the PRESIDENT OF THE UNITED STATES, and inform him that a quorum of the two Houses is assembled, and ready to receive any communications that he may be pleased to make to them. _Resolved_, That the Senate do concur in the appointment of a joint committee, and that Messrs. LIVERMORE and LANGDON be the joint committee on the part of the Senate. Mr. LIVERMORE reported, from the joint committee, that they had waited on the PRESIDENT OF THE UNITED STATES, and had notified him that a quorum of the two Houses is assembled; and that the PRESIDENT OF THE UNITED STATES acquainted the committee that he would meet the two Houses in the Representatives' Chamber, at 12 o'clock to-morrow. TUESDAY, May 16.