OUR CORRESPONDENCE.Tor iht Trfgh Republicanfleeting la VarW 6nmrludi. ^ Dcblin, Feb. 11.The citizens of Dublin, irrespective of party, met in the Universalist Church, per-suant to previous notice.W. B. Reed was called to the Chair, and M. D. Leeson appointed Secretary.On motion of M. D. Leeson the Chair 1 appointed a Committee of five to report resolutions expressive of the sentimehts of the meeting.The Chair appointed the following gentlemen, to-wit: M. D. Leeson, Sylvester | Johnson, A. Butler, R. J. Hubbard, and Pleasant Johnson.| The Committee retired for a short time and reported the following preamble and resolutions, which were adopted unanimously.Whereas, We believe the present political troubles have been brought about by pro-slavery partisans on account of the firm and emphatic refusal on the part of the North to yield further to their arrogant demands for new, unconstitutional and unjust guarantees, and protection to Slavery in the Territories and Free Strtes;And whereas, we believe such demands are not only insolent and offensive, but contrary to the theory and practice of the fathers of the Republic, and detrimental to the best interests of free institutions; therefore be it.Resolved, That we do now and shall ever continue most earnestly to oppose any and all measures which in any way yield to the demands or concede to those who make them, any principle which has not heretofore been granted them by the Con stitution.Resolved, That we are in favor of the Constitution as it is, and webeliefe anf attempt to alter or amend it atthis time would augment,jhe difficulties which it may bo intenued to obviate.Resolved, That we are not only in favor of the Constitution, but wo are in favor of the Union and enforcement of tho laws against all traitors, whether the treason consists in Secession, or any other attempt to dismember the Union.Resolved', That we are opposod to the Crittenden Amendment, or any other proposition which yields to Slavery one foot of Territory now free.Resolved, That we think it the duty of tho Northern Legislatures to repeal ail laws (if any such exist) which conflict with the rights of the South; and at the same time we demand that the rights of free speech, of the press, and protection to the mails be guaranteed to the North by the South.Resolved, lhat we ara in favor of withdrawing the mails from all Ihexceeding States until such guarantees are given as will secure their sacredne ss.Resolvedl That we are in favor of repealing the duty on sugar.Resolved, That we have the utmost confidence in the ability, statesmanship and integrity of Abraham Lincoln, and we believe the present difficulties will be settled, if at all, by the justice of his Administration.Resolved, That a copy of these resolutions be furnished each of the following papers for publication: Cincinnati Gaaette Cincinnati Commercial, Flag of the Free ind True Republican, and a copy sent to jur Representatives in Congress, and to die Peace Congress.W. B, Rped, President M. D. Lef-sow, Secretary-