In Pennsylvania, amongst a vast majority of the people, there is but one sentiment concerning the late Presidential election. Although they submit patiently, as is their duty, to the legally constituted powers, yet there is a fixed and determined resolution to change them as soon as they have the constitutional power to do so. In my opinion, your popularity in Pennsylvania is now more firmly established than ever. Many persons who heretofore supported you did it cheerfully from a sense of gratitude, and because they thought it would be disgraceful to the people not to elevate that candidate to the Presidential Chair, who had been so great a benefactor of the country. The slanders which had been so industriously circulated against your character had, nevertheless, in some degree affected their minds, although they never doubted either your ability or patriotism, yet they expressed fears concerning your temper. These have been all dissipated by the mild prudence and dignity of your conduct last winter, before and after the Presidential election. The majority is so immense in your favor that there is little or no newspaper discussion on the subject. I most sincerely and fervently trust and hope that the Almighty will preserve your health until the period shall again arrive when the sovereign people shall have the power of electing a President. There never was a weaker attempt made than that to conciliate the good opinion of Pennsylvania in favor of the administration by the appointment of Mr. Rush, although no appointment could have produced the effect desired; yet, if the President had selected Mr. Sergeant, he would have chosen a man who had been his early and consistent friend, and one whose character for talents and integrity stands high with all parties in this State. Mr. Rush was a candidate for the office of elector on the Crawford ticket. I verily believe his appointment will not procure for the administration, out of the city of Philadelphia, twenty new friends throughout the State. In that city their additional strength is limited to John Binns and a few of his devoted followers. I hope Mrs. Jackson, ere this, has been restored to her accustomed health. When I left her, I felt some apprehensions in relation to the issue of her disease. Please to present to her my kindest and best respects, and believe me to be ever your sincere friend, JAMES BUCHANAN. [GENERAL JACKSON TO MR. BUCHANAN.] HERMITAGE, June 25, 1825. DEAR SIR:— I have the pleasure to acknowledge the receipt of your kind letter of the 29th ult., which has just reached me.