TRISTRAM DALTON, from Massachusetts, appeared and took his seat. A letter was written to the mayor of the city of New York, by the President of the Senate, acknowledging the respect shown to the Government, and accepting of the offer made by him of the City Hall for the use of Congress. MONDAY, April 20. JOHN HENRY, from Maryland, and JAMES GUNN, from Georgia, appeared and took their seats. Messrs. STRONG and IZARD were appointed a committee to wait on the Vice President, and conduct him to the Senate Chamber. TUESDAY, April 21. The committee appointed to conduct the Vice President to the Senate Chamber, executed their commission, and Mr. LANGDON, the Vice President _pro tempore_, meeting the Vice President on the floor of the Senate Chamber, addressed him as follows. SIR: I have it in charge from the Senate, to introduce you to the chair of this House; and, also, to congratulate you on your appointment to the office of Vice President of the United States of America. [After which Mr. Langdon conducted the Vice President to the chair, when the Vice President addressed the Senate in a speech of congratulation on the successful formation of the Federal Union, the adoption of the Federal Constitution, and the auspicious circumstances under which the new government came into operation, under the presidency of him who had led the American armies to victory, and conducted by those who had contributed to achieve Independence.] FRIDAY, April 24. On motion, to reconsider the commission of the committee appointed the 23d instant, to report what titles shall be annexed to the offices of President and Vice President. Passed in the affirmative. On motion, that the following words, "What titles it will be proper to annex to the offices of President and of Vice President of the United States; if any other than those given in the Constitution," be struck out. Passed in the negative. On motion, that the words "style or" before the word "title," be added. Passed in the affirmative. SATURDAY, April 25. The Right Reverend SAMUEL PROVOST was elected Chaplain. A letter from CHARLES THOMSON, Esq., dated the 24th of April, 1789, directed to the President of the Senate, purporting his having delivered to General WASHINGTON the certificate of his being elected President of the United States, was read, and ordered to be filed. The committee appointed to consider of the time, place, and manner, in which, and of the person by whom, the oath prescribed by the Constitution shall be administered to the President of the United States, and to confer with a committee of the House appointed for that purpose, report: