We afterwards went through the apartments appropriated to the Treasurer and Auditor of the State, the two chief officers of the Government, which are very capacious and well fitted up--and we were specially introduced to both these functionaries; Mr. Neil, who is somewhat of a wag, was rather jocose with them, and high as their position here is, they very cordially retaliated on him. We next went to those appropriated to the Governor of the State, General Chase, in order that we might be introduced to him, but he was out, which we regretted. He is a candidate to succeed Mr. Buchanan as President. The remainder of the building was occupied by numerous committee-rooms, by the courts of law, the judges' apartments, a law library, and a beautiful room intended for a general library, but in which the collection of books at present is very small. On the whole the building and its contents are very creditable to this, the largest and wealthiest of the States in the West, considering that forty years ago the country here was a wild forest region where no tree had been cut down. _25th October._--We have seen Columbus well, and it has much to attract attention. On Saturday we went from the Capitol to the Lunatic Asylum, but excepting in its being more pleasingly arranged than the one at Utica, there was nothing very striking in its appearance. The galleries in which the patients were walking were prettily decorated with flowers cut out in paper, giving it a very gay appearance; and when the patients become desponding, they have a dance in the great hall, to revive them. The matron who went round with us said that the men and women conduct themselves on these occasions with perfect propriety. The men and women are otherwise so entirely separated in this Asylum that papa went round to the men's wards with the doctor, while I was taken round by the matron to those appropriated to the women. We thought it a pleasant, cheerful-looking place, considering the melancholy object to which it is devoted.