Independence, July 24. New Mexico dates to the 9th inst. ar rived to-day, making schodule time. Thoy havo hud copious showcrs of rail iu Santa Fe for oO days, and crops look fine and will yicld an abundant har vest. The rains iu the mouutaius near Sant! Fo did an immense amount of damugi and scvcral lires vrure lost - four dea( bodies have been found. The census takers in New Mexico found great difficulty in getting the Mex icans to answcr qucstions - they thinking it is done foi tho purpose of taxing them The Governor has issuod his proclama tion proclaiming the objuct, &c. Tlie news frmu the Atizona gold mines is not good, owing to the fact that no water is to be had. James B. Collins, Indian Agent, is out in a card in the Santa Fe Ga%etle de fcnding his official acts iu relation to the Xavajoe Indians. Provisions are very scarce and com mand very high prices. Flour selling ai $14 per sack and scarce. Other provis ions in proportion. This coach brought all the letter mails which for sonio time back have beeu sea via the Overland California Mail. 13} this route letters will get to their destina tion ten dayssooner than by the other.-- No Indians were seen but a few Kiowas they said that a band of Kiowas had been at Cow Creek awaiting the mail for the purpose of robbing it, but were driven orí' by a eompauy of soldiers from Texas, who were en route for Pawnee Fork. Maj. Sedgwiek's command some time in June carne iu sight of a large eneampmout of Indiaus, but not being prepared for battle, and before they could get ready the Indians left. No rain water this sidc of Fort Union and the water courses are very low. - Stocks suffer for want of water. Weather picasant.