Geo. Clinton. Horatio Gates. Henry Rutgers. Thomas Storm. Samuel Osgood. Geo. Warner, Senior. John Broome. Philip J. Arcularius. Ezekiel Robins. Brockholst Livingston. John Swartwout. James Hunt. Elias Nexsen. The late hour at which I write this will be a sufficient apology for the scrawl.... MATTHEW L. DAVIS TO GALLATIN. Thursday night, 12 o'clock. May 1, 1800. REPUBLICANISM TRIUMPHANT. DEAR SIR,--It affords me the highest gratification to assure you of the complete success of the Republican Assembly ticket in this city. This day the election closed, and several of the wards have been canvassed for Congress; the result as follows: For Mitchill. For Morton. First Ward, majority, -- 76 Second do., do., -- 258 Third do., not canvassed. Probable majority, -- 250 Fourth do., canvassed majority, 72 -- Fifth do., not canvassed. Probable majority, 100 -- Sixth do., canvassed majority, 432 -- ---- ---- 604 584 Seventh do. do. do. For Van Cortlandt, 312. Thus, sir, it is probable Mr. Mitchill is elected a member of Congress, and no doubt can remain but our whole Assembly, ticket is elected by a majority of three hundred and fifty votes. To Colonel Burr we are indebted for everything. This day has he remained at the poll of the Seventh Ward ten hours without intermission. Pardon this hasty scrawl; I have not ate for fifteen hours. With the highest respect, &c. P.S.--Since writing the above I learn from undoubted authority that Mr. Mitchill is elected by upwards of one hundred majority. MATTHEW L, DAVIS TO GALLATIN. NEW YORK, May 5, 1800. DEAR SIR,--I have already informed you of the complete triumph which we have obtained in this city,--a triumph which I trust will have some influence in promoting the rights of the people and establishing their liberties on a permanent basis. Our country has arrived at an awful crisis. The approaching election for President and Vice-President will decide in some measure on our future destiny. The result will clearly evince whether a republican form of government is worth contending for. On this account the eyes of all America have been turned towards the city and county of New York. The management and industry of Colonel Burr has effected all that the friends of civil liberty could possibly desire.