Weekly National Intelligencer

The independent "Free-Soilers" are not idle. They are not all of them in coalition with the Democrats. The Hon. JOHN P. HALE, who is their candidate for the Presidency, stands aloof from some of the doctrines of the Democrats, although he is certainly a professor of them rather than of Whig doctrines. The reader will learn something of the tenor of the Speeches which he is making on his present circuit in the West from the following notice by a Whig paper of one of them:

FROM THE OHIO STATE GAZETTE OF SEPTEMBER 24.

THE HALE DEMONSTRATION came in this city yesterday afternoon. Noil's new Hall was well filled with attentive and respectful listeners. Hon. J. P. HALE addressed the meeting for one hour and a half. He is a pleasant speaker, at times eloquent, not dealing in personal denunciation or abuse. Some of his points were well taken. The course pursued by Ohio's Senators, ALLEN and TAPPAN, both Locofocos, in voting for the admission of Texas, was severely censured. How could the friends of freedom in the slave States stand up for the cause of liberty, when the Locofocos of Ohio, by both of her Senators, acted with the slaveholders in this game of acquiring new slave territory? But we have no time to give even a sketch of his speech.