From New Mexico

Lodependancé, June 24. Tho Santa Fe and Caunon City express ai-rivod lust night, two daya ahead of time. We learn from it tkat business is very dol! Reporta from San Juan mines continue favorable, and many persons are leaving Santa Fe daily tor the digginga- . Colonol J. B. Grayson lias been orderod to repair to " Washington, and would leave in one week Via the Southern route. Dr. W. B. Krag, of tho Medical Department, carne in as a passenger by the stage, to report hirnsolt' at Washington. Tho armistice entered inio between tho govcrnment and the Oumauehcs on the lüth oí' May last, has agajn been broken by the latter. On the 'J'Jth oí May a largo body of thein oame to Hatohe'.s ranch, aod drovc off large numbers of horses, oattle, and sheep, Captain Dunean, of the United States Army, with his saiall forcé folio wed, killing one, woundtng three, and tttkiog several prisoners. lío succeeded i recapturing sume of the stock. Fears are emertained by tho peop:o of' that neigliboriioxl, that the Indiana would soon return, and unless they ara arrested by some stróag hand, they will ttuti'er iiiuch loss, ütiiuers of the United States Army continue to resign, and aie leaving via the Sou thora route. Advices of Di'. Connolly's appointrnent as Governor, had justbeonreceived. The Fifth and Seventh Ilegirnents aro reportad to bu withdrawn,