FROM NEW MEXICO.Independence, April 8.—The Santa Fe mail, with dates to the 25th ult., arrived this morning.Colonel Loring had arrived and taken charge of the Military Department of New Mexico, which gave much satisfaction to the people of that territory.The report of the taking of Fort Marcy by the citizens of Sante Fe is- incorrect, no demonstration of the kind having been made or thought of.Peace has again been made with the Navajoes.Great crowds of people are flocking to the San Juan mines, and numbers are leaving and going back to the Pike’s Peak region.The grass on the plains is growing fast, and in a few days will be suflicient for stock to subsist on.The emigration to the gold fields had commenced over the Southern route, quite a number of emigrants having been met by the mail party.