Remarks of the President.

Frederick. Md., Oct. 4.

President Lincoln,Gen. McClellan and others left Gen. McClellan’s head quarters at ten o’clock to-day and visited the battlefield of South Mountain. Gen. McClellan and staff then took leave of the President, who arrived here at five P. M. He was enthusiastically welcomed and spoke a few word to the assembled multitude. He merely made a call upon the wounded Gen. Hartsuff, who is receiving attention at the residence of Mrs. Ramsey and son, and soon afterwards left for Washington amid the cheering of the throng of citizens and soldiers, to whom he returned thanks briefly, saying: