THE LATEST FROM JEFF. DAVIS.

James R. Gilmore—otherwise known as "Edmund Kirke"—who recently visited Richmond with Col. Jacques, writes an explanatory note respecting his visit to the Boston Transcript of July 22, 1864, in which he says of their "mission":

It will result In nothing. Jefferson Davis said to me last Sunday, (and with all his faults I believe him to bo a man of truth): "This war must go on till the last of this generation falls in his tracks, and his children seize his musket and fight our battle, unless you acknowledge our right to self-government. We are not fighting for slavery; we are fighting for independence, and that or extermination we will have."