William H. Ross, the new Governor of Delaware, was inaugurated at Dover, on the twenty-first of January. The most important feature of his address was the recommendation of a revision of the State Constitution. George F. Fort, the new Governor of New Jersey, has been inaugurated. His address takes ground in favor of the compromise measures passed by Congress. He also advocates the Free School System, and the election of Judges by the people. Governor French, of Illinois, in his annual message, represents the State as being in a prosperous condition, the revenue being sufficient to meet the demands upon the treasury. He recommends a geological survey of the State, and the passage of a Homestead Exemption Law. The schools of the State are in a flourishing condition. The message of Governor Dewey, of Wisconsin, also shows an improved condition of State affairs. The finances are represented as being sound, and the credit of the State relieved from all fear of bankruptcy. Apprehensions of danger to the citizens residing north of Wisconsin river, from the return of the Winnebagoes, have been quieted by the appointment of an agent to confer with that tribe. The message of Governor Ramsey to the second Legislative Assembly of Minnesota Territory is an interesting document. Among other subjects recommended to the attention of the Assembly are the agricultural interests of the Territory, and the improvement of the Mississippi river, both above and below the Falls of St. Anthony. The extinction of the Indian title at Pembina will admit of the laws of the Territory being extended over the half-breeds at that place. It is said that there are hundreds of half-breed hunters on the British side of the line, who are only waiting the extinction of the Indian title to change their homes and allegiance. The assessed value of property in the five principal counties of Minnesota is $805,417.48. The returns of the Seventh Census will shortly be completed. A number of States have recently sent in their full reports, among which are the following: New-York 3,099,000, being an increase of 670,029 since 1840; Virginia 1,428,863, an increase of 189,066; Maryland 580,633, an increase of 111,401; New Hampshire 317,999, an increase of 33,425; Missouri 681,547, an increase of 297,845; Ohio 1,981,940, an increase of 462,473; Kentucky 993,344, an increase of 213,516; Indiana, 990,000; New Jersey 490,763, an increase of 117,874; and Wisconsin, 305,556. The entire population of the United States in 1850 is estimated at 23,500,000. A warrant for the arrest of Governor Quitman of Mississippi, for participation in the Cuban Expedition, was issued by Judge Gholson in New Orleans, early in January. Governor Quitman at first resisted the authority, but afterwards resigned his office as Governor, and on the seventh of February reached New Orleans, under arrest. He appeared in court, and gave bail for future appearance, asking a speedy trial.