A revolution set on foot in Northern Mexico promises to be successful. The chief causes alleged by the conspirators are the enormous duties upon imports, and too severe punishment for smuggling, the excessive authority of the Central Government over the individual States, the quartering of regular troops upon citizens, the mal-administration of the national finances, the bad system of military government inherited from the Spanish establishment, and the want of a system of public education. The insurgents declare that they lay aside all idea of secession or annexation, yet it is not impossible that the movement will soon have such an end. The revolution commenced at Camargo, where the insurgents attacked the Mexicans, and came off victorious, having taken the town by storm, with a loss on the side of the Mexicans of 60. The Government troops were intrenched in a church with artillery. The revolutionists are commanded by Carvajal, who has also with him two companies of Texans. At our last dates, the 9th of September, they had taken the town of Reynosa, meeting but little resistance. One field-piece and a quantity of other arms fell into their hands. General Canales, the Governor of Tamaulipas, was approaching Metamoras, and General Avalajos was on the way to meet him, whether as friend or foe is uncertain. It was supposed that Canales would assume the chief command of the revolutionists. From New Grenada we learn that General Herrara has entirely subdued the revolt lately undertaken, and that the country is quiet. A revolt has broken out in Chili (a country remarkable in South America for the stability of its affairs), and in several towns the troops had declared in favor of a new man for the Presidency: the disorganizers were sweeping all before them, and the country was in a most excited condition. From Montevideo the latest intelligence is so confused that we can arrive at no definite conclusion, except that the domestic war is prosecuted with unusual savageness. An insurrection has broken out in the states of San Salvador and Guatemala. General Carrera, with a force of 1,500 men, had attacked the enemy in San Salvador, who mustered 4,000 strong, and defeated them with a loss of four men killed. He then evacuated the country.