Correspondence of the New-York Times.

GREAT SALT LAKE CITY, Saturday, Dec. 7, 1861.

There is no immediate prospect of famine in Utah. Considerable quantities of grain have been sold this Fall, to the agents and employes of the Mail Company, for the subsistence of their animals on the route for some three or four hundred miles east, and the same west, of this city. And yet the market is amply supplied and grain almost pushed into the hands of storekeepers. I am informed that flour can now be bought here, as indeed it could have been ever since the Fort Crittenden sale and evacuation, for $2 50 per hundred, cash. This is less than one-half of the usual price, if I understand correctly, of flour in the British Islands, where twenty-five cents, or its equivalent, will go as far in the purchase of dry goods as one dollar will hero. Wheat, I believe, can be obtained in this city for eighty cents, cash, per bushel, the price we pay for two pounds of sugar, or of coffee, or two and three-fourths yards of calico. Five bushels of Wheat at that price will buy one bunch of cotton yarn. These facts demonstrate the existence of two circumstances in Utah -- a bountiful harvest and an inadequate currency, and must tell very strongly in favor of the schemer and capitalist, and just as strongly in disfavor of the non-scheming bone and sinew. Groceries, clothing and fuel are luxuries to the mass of the "working class" of Salt Lake City.

The Councilors and Representatives of the Utah Legislature are fast arriving in the city from their respective counties, as the session commences on Monday. Some of these honorable gentlemen are numbered among the company for raising cotton on the Rio Virgin, and have just returned from a preliminary trip to that region. From conversation with some of them, it is evident that the sight of that country has improved their opinion, not of its desirableness at first sight, but of its capabilities of producing a limited supply of temperate and semi-tropical productions, if well cultivated and well irrigated, and well seasoned with sufficient faith and prayer, and such like things. The length of the warm season, the shortness and mildness of the Winter, and the supposed abundant fertility of the scattered half-acre patches of alluvial deposit, are all taken into account in estimating the anticipated harvests on the Rio Virgin and the Santa Clara. Were the cotton-worshiping Seceshers to hear of such a country in the least glimmer of the light of rivalry of their expansive nigger-tilled domain, they might, perhaps, be excused a proper show of supercilious airs. But we must not despise the day of small things. Even an Illinoisian, who is monarch of all he surveys in a dozen quarter-sections of broad prairie, could scarcely retain his gravity were he to hear a Utah Southerner boast of his farm-strip of one or two miles long and as many rods wide.

The views of the "brethren" seem to be modifying, too, in respect to the capabilities of the Virgin country for the sustenance of stock -- horses, cattle, sheep. It was for a time freely declared that a dozen yoke of cattle would eat up the whole country. And I certainly heard a traveler in that region declare seriously, that he sought diligently, for the space of fifty miles, to discover one spear of grass, but was unsuccessful in the search. Perhaps four hundred wagons have gone there this Fall, with one to four yoke of oxen to each, besides horses, mules, and loose stock. And now it is believed that there will be found abundant "bunch grass" on the mountains, hills, and "benches," to well sustain all the stock that will go there. This bunch grass grows in scattered tufts of two or three inches high to knee deep, and every traveler and denizen of this mountain country is confident that this variety of grass is specially rich in that particular quality of nutriment which is popularly believed to "stick to the ribs." The principal settlement is to be laid out on the tongue of land formed by the junction of the Rio Virgin and the Santa Clara, and to be called St. George.

At Parowan, in Iron County, a cotton factory is under way, and will probably commence operations with the new year, taking the cotton in the bale, ginning it, and turning out the yarn ready for the weaver.

In the same county, attempts arc being renewed to make iron, and the operators are sanguine that they will succeed. Iron has been made there, but all previous attempts to make it under a paying system have proved failures.

The Probate Court has granted a distiller, living outside of the city, permission to manufacture and sell whisky, on condition of his paying $40 per month for his license. A snug sum, but the man thinks he wont feel it.

We have had all sorts of weather the past week -mild and open as the pleasantest Spring, soaking rain, snow and frost.

Winter entertainments arc coming on. In addition to the "dissolving views," a theatrical party, mostly of this city, are out in the country on a "professional" tour. A series of weekly public lectures is inaugurated in the "Seventies' Hall," and a course of private lectures by Professor OTT is arranged for.

Contrary to general talk and expectation, a number of workmen have begun to uncover the foundations of the temple, after being "cached" near four years. It was generally believed that they would not be exposed to the light of day before the approaching Spring.

Gov. DAWSON and Superintendent DOTY arrived by the mail-stage to-day.

Some lawless fellows, the other night, broke into the surgery or office of Drs. ANDERSON and CHAMBERS, removed their sign, smashed the windows, made a general muss of the medicine bottles, and scattered filth on the floor. ANDERSON is out with placards, stigmatizing the offenders as "dastardly poltroons," "nuisances," and offering a reward of fifty dollars for their discovery and apprehension. This is a hard country, however, to find out such characters, so as to judicially fix the charge upon them.