appropriations for purposes of Internal Improvement, unless of a strictly national character; in opposition to a National Bank; recommending an equality of protection to all interests; in favor of free grants to actual settlers of the public lands; denying the power of Congress over the subject of slavery in the States, which, it is affirmed, can not claim to be legalized beyond the limits of State lines; in favor of the Wilmot Proviso, and adverse to the admission of any new Slave States into the Union; declaring the unconstitutionality of the Fugitive Slave law; approving of the law of the State, enacted at the late session of the Legislature, granting the privilege of _habeas corpus_ to alleged fugitives from labor; and, finally, professing devotion to the Union, until perverted to an engine of oppression to the States. A speech, arguing strenuously against the constitutionality of the Fugitive Slave law, was made by JOHN VAN BUREN, Esq. Hon. LUCIUS B. PECK was nominated for Governor; he has declined to accept the nomination on the ground that he can not assent to the resolutions passed by the Convention, inasmuch as he believes the Fugitive Slave law to be constitutional, and does not consider the act passed by the late Legislature, authorizing the State courts to take, by _habeas corpus_, a slave out of the hands of the United States officers, to be a just exercise of the power of the State. The Democratic State Convention, held in May, passed resolutions decidedly approving of the Compromise measures, which were declared to be a pledge of the fidelity of the States to each other, and recommending the observance of them with the utmost fidelity and good faith. Hon. JOHN S. ROBINSON was nominated for Governor. In _New Hampshire_ the Democratic State Convention met at Concord on the 9th of June. Resolutions were passed expressive of firm attachment to the Union; of acquiescence in the Compromise measures; and affirming the duty, on the part of all citizens, of unconditional submission to the laws. Hon. LEVI WOODBURY was unanimously presented as a candidate for the Presidency, subject to the decision of the National Convention to be held at Baltimore.