The Legislature of SOUTH CAROLINA met in special session on the 3d of December, and the Message of Governor SEABROOK was received on the same day. The Governor says that during the year he has purchased largely of muskets and rifles, and caused several thousand musket accoutrements to be manufactured at Columbia. He wishes the Legislature to authorize him to purchase eighteen brass field-pieces, to establish foundries for cannon and small-arms. He complains of the North on account of the incendiary resolutions of State Legislatures; the sweeping denunciations emanating from abolition associations; the bitter and vindictive feelings of the press, the bar, and the pulpit: the inflammatory harangues to popular meetings; the encouragement and aid given to runaway slaves, &c., which unwarrantable proceedings have caused South Carolina, for about one-third of her political existence, to present an almost uninterrupted scene of disquietude and excitement. He says that "the time has arrived to resume the exercise of the powers of self-protection, which, in the hour of unsuspecting confidence, we surrendered to foreign hands. We must reorganize our political system on some surer and safer basis. There is no power, moral or physical, that can prevent it. The event is indissolubly linked with its cause, and fixed as destiny." Resolutions had been introduced into the Legislature upon these subjects, but no action has been had upon them. The Legislature of FLORIDA met on the 25th of November, and the Governor's Message was at once delivered. Gov. BROWN, though a strong friend of the Union, expresses serious concern for the perpetuity of the Union, in consequence of the manifestations of Northern sentiment on their obligations under the Federal compact. He asks from the Legislature authority to call a convention of the people of the State, in the event of the repeal of the fugitive slave bill, or the consummation of any other aggressive measure. The Nashville Convention adjourned on the 18th of November. Resolutions were passed expressing attachment to a constitutional Union, but declaring the right of any State to secede; expressing also the conviction that "the evils anticipated by the South, in forming this Convention had been realized, in the passage of the recent compromise acts of Congress. They further recommended to the South, not to go into any National Convention for the nomination of President and Vice-President of the United States, until the constitutional rights of the South were secured. They also recommended to the slaveholding States to go into convention, with a view to the restraint of further aggression, and if possible, to the restoration of the rights of the South. The Tennessee delegation protested against the adoption of the resolutions, declaring the proceeding to be "unhallowed and unworthy of Southern men."