The President has a peculiar power of inspiring confidence in all who approach him. In the summer-time it is the custom for the National Band of the Marine Barracks to play alternately at the Capitol and in the President's grounds. Crowds of citizens, with senators and representatives accompanying the ladies of their families, walk through the grounds while the band is playing, salute their acquaintances and chat with their friends till the music ceases, when they all, as the sun goes down, loiteringly leave. The President and his family always appear on the portico that fronts on the grounds of the White House, to which steps ascend from both sides, and receive their friends and acquaintances, who call on these occasions to pay their respects to the Chief Magistrate and his household. His manners are so very unpretending that, but for the respect that is paid him, you would not distinguish the Chief Magistrate from the group among which he familiarly mingles, unless you were an observer of character, and then you would know him from the absence of all restraint in his person and conversation, and the freedom and entire frankness of his intercourse with those around him. On one of these Saturday afternoons, two countrymen, who looked like persons who had come to market, approached the portico, evidently with a desire to see the President. One of them asked a gentleman who was ascending the steps, which was the President. The gentleman pointed out the Chief Magistrate, and asked the countryman if he would like to be introduced to him. 'Why,' replied the countryman, 'I am not of his way of thinking, but they say so much about him and against him, that I should like to have a good look at him, any how.' 'Come up; he 'll be glad to see you. Won't your friend come?' The friend declined; and the gentleman with his new acquaintance beside him, who gave him his name, ascended the steps. The President instantly noticed the countryman, and observed that the visiter felt some diffidence in approaching him. Mr. Tyler accordingly quit the group by which he was surrounded, and advanced to meet him. On his name being mentioned, the President gave him a hearty shake of the hand, and asked him from what State he came? The countryman replied, from Virginia. The President entered into conversation with him, and they stood talking together some ten minutes or more, when with a smiling countenance, and a frank offering of his hand, the visiter withdrew. 'There,' said the President, as the visiter left, 'is a man who, consulting the native manliness of his impulses, has a propriety of deportment that is better than any thing that Chesterfield has taught. He is one of Nature's noblemen.' After hearing this remark, the introducer was anxious to know what impression the President had made upon a political opponent, who had made such an impression upon the President. He accordingly followed him as he walked away with his friend, who had waited below.