The weather has been quite delightful, bright sunny days but not hot; and if only the houses and hotels were not kept at such a suffocating temperature, we should be very happy both in and out of doors. The artificial heat has completely knocked us up in Brooklyn. We had a lovely big room with a large bay window besides another window, where we often retired for a blow of fresh air; the result has been that we both have had bad crying colds. * * * * * CHICAGO, May 11th. We are now half way to Manitoba, and have really done the journey thus far so easily that it seems nothing of a drag; and if it wasn't for the Atlantic, A---- would not seem to be at the end of the world, which we fancied whilst in England. We left Brooklyn on Wednesday morning, very sorry to part from the Commodore and his family, who have been most kind and friendly, trying their best to make us feel at home. Unfortunately, having only just got the appointment and lately taken up their residence at the Navy Yard, they could do no entertaining. Anyhow, we have had a very pleasant insight into the home life of America, which differs in small ways a good deal from ours, and in character, habits, and everything there is a widish gulf between the two races. Our train here was a splendid one, stopping only about sixteen times, and doing the nine hundred miles in thirty-six hours. We had a section in the Pullman, which makes a double seat facing each other by day, and at night the two seats are converted into a bed, with the second bed pulled down from the roof, on which mattresses, blankets, and sheets are all arranged with a projecting board at the head and foot, and a curtain in front, so that one is quite private, and we slept like tops. We had also a dining-car on, where every luxury of the season, to strawberries and cream, were served by the blackest of niggers in the whitest of garments, for the sum of a dollar a head per meal. Only fancy our delight, after leaving Harrisburgh about 3 o'clock in the afternoon, to find friends in the train, people from an adjoining county in England who knew all our friends, and with whom we had much in common. I need hardly tell you that we did "chin" it until our ways parted at this station, they going to the Grand Pacific, we to the Treemont which had been recommended to us as being a quieter hotel for ladies alone. Men make these hotels their club, where they smoke and lounge all day; but as there is a second door for ladies, one is not bothered in any way unless you want to go to the office for information.