SATURDAY, AUG. 15. To-day the first newspaper ever published in California made its appearance. The honor, if such it be, of writing its Prospectus, fell to me. It is to be issued on every Saturday, and is published by Semple and Colton. Little did I think when relinquishing the editorship of the North American in Philadelphia, that my next feat in this line would be off here in California. My partner is an emigrant from Kentucky, who stands six feet eight in his stockings. He is in a buckskin dress, a fox-skin cap; is true with his rifle, ready with his pen, and quick at the type-case. He created the materials of our office out of the chaos of a small concern, which had been used by a Roman Catholic monk in printing a few sectarian tracts. The press was old enough to be preserved as a curiosity; the mice had burrowed in the balls; there were no rules, no leads, and the types were rusty and all in pi. It was only by scouring that the letters could be made to show their faces. A sheet or two of tin were procured, and these, with a jack-knife, were cut into rules and leads. Luckily we found, with the press, the greater part of a keg of ink; and now came the main scratch for paper. None could be found, except what is used to envelop the tobacco of the cigar smoked here by the natives. A coaster had a small supply of this on board, which we procured. It is in sheets a little larger than the common-sized foolscap. And this is the size of our first paper, which we have christened the Californian. Though small in dimensions, our first number is as full of news as a black-walnut is of meat. We have received by couriers, during the week, intelligence from all the important military posts through the territory. Very little of this has transpired; it reaches the public for the first time through our sheet. We have, also, the declaration of war between the United States and Mexico, with an abstract of the debate in the senate. A crowd was waiting when the first sheet was thrown from the press. It produced quite a little sensation. Never was a bank run upon harder; not, however, by people with paper to get specie, but exactly the reverse. One-half of the paper is in English, the other in Spanish. The subscription for a year is five dollars; the price of a single sheet is twelve and a half cents; and is considered cheap at that. SUNDAY, AUG. 16. A brilliant day, and no sounds to disturb its tranquillity save the moan of the pine-grove as the wind sighs through it, and the thunder of the breaking waves on the beach. We had divine service on board the Savannah,—a much more grateful occupation to me than the investigation of crimes in the Alcaldean court.