From OREGON our advices are to Jan. 24. The Legislature and Judiciary disagree about the seat of government, part of the members meeting in the place fixed by judicial decision, and others refusing to concur in the decision and meeting elsewhere. The dispute has been transferred to the people, by the adjournment of the Assembly on the 21st of Jan. It is canvassed with great warmth and earnestness.----Some doubts having arisen as to the true boundary line between Oregon and California, the Surveyor-general has been directed to make the necessary observations to determine it. In the Territory of NEW MEXICO, from which we have news to Jan. 31st, fresh Indian outrages have occurred. An escort of United States troops, consisting of a sergeant and four men, was proceeding southward when they were attacked by a band of Apaches in ambush, and four of the party were killed; the other succeeded in making his escape. Four murders were perpetrated also near Polvodera in the early part of January, and soon after the Indians attacked a party of nine persons of whom they killed five. The scene of these outrages is the desert region called the Jornada, lying on the route from Santa Fé to Chihuahua. The daring nature of the attacks of the several tribes of Indians had created great alarm throughout the country. A body of troops had been sent out to punish the Indians for these murders, but returned without success.----Movements are in progress in Santa Fé to work the gold placers known to exist in that vicinity. The chief difficulty has hitherto arisen from the want of water for washing the dust: this is now to be remedied by digging wells. A gold hunting company of forty men has left Santa Fé for a thorough exploration of the Gila region: they expected to find others on the way to join them, so as to swell their number to a hundred and fifty which would be sufficient for self-defense. From UTAH the last California mail brought news that the Mormons at the Great Salt Lake city had published a declaration of independence, announcing their determination to setup a republic for themselves--that they had put the United States' authorities at defiance--that all the United States' officers had left, and the people were preparing to resist all authority, by fortifying their settlements. The delegate in Congress from Utah, Mr. John W. Bernhisel, published a card on the 1st of March, pronouncing the report untrue, so far as the latest intelligence from home which had reached him enabled him to give an opinion. He said he thought the rumor was merely an exaggerated statement of difficulties previously known. On the other hand, another gentleman who left California on the 16th of December, expresses the belief that the accounts are true. He says that the news was by no means unexpected to the people of Oregon and California, as they had long been aware of their hostile and ambitious designs. For decisive intelligence we shall be obliged to wait for another arrival.