Salt Lake City, Utah.—We are surrounded, encompassed about, and overwhelmed with grasshoppers. These insects have hatched out the past spring by myriads, on the benches around the city, and in most of the unfrequented streets, so that now in the outside lots they are doing a great amount of damage. In my lot, which is on the east part of the town, they have destroyed all my young green vegetables, also my pie-plant, gooseberries, strawberry plants, potato vines, grape vines, old and young, and stripped nine-tenths of my trees of foliage, and now are cutting off my pea vines. As an instance of their voracity, on the 24th of April my place looked lovely in the morning, at noon the small insects commenced to travel in a body, and before sundown the place was as bare as if nothing had been planted, and they, staying around, kept it so; and now we have the appearance of winter in the lots so affected. The insects have not traveled far into the city in any numbers, because the inhabitants of the outside lots are vigilant in their efforts to destroy all that they can. All modes are resorted to—digging holes, driving the insects into, and burying them in the mud; piling straw, surrounding them and driving them in, and then after dark burning them in the straw; putting a hoop in the mouth of a sack, sweeping them into sacks and crushing them; catching them in sheets and destroying them, &c. Though millions are killed daily we are overrun with them; and people from the mountains say the hills are covered with small ones, yet to come down. It is a deplorable prospect, but we “are going to fight it out on that line.” To-day (31st May) we had a lengthy, solid fall of snow and rain; on the hills surrounding us there is quite a depth of snow. The atmosphere was cool, but in the afternoon it cleared up and became warm. Springville, Utah.—The grasshoppers are more numerous this season than ever before known; already more than one half of the oats, wheat, and barley, have been destroyed by them. Farmers are replanting with corn. Much of the blossoms and young fruit are cut from the trees of the apple, peach, plum, and pear. Cherries not injured. Currants, gooseberries, strawberries, pie-plant, and vegetables, mostly destroyed.—Correspondence of Agricultural Department, Washington.