For 10 points, name this national office which was first held by John Adams.
One man who held this U.S. office was sworn in in Cuba, where he died six weeks later, and may have been James Buchanan's lover. The only two men to hold this office during the Madison administration both died in office. (*) John C. Breckinridge was followed in this office by Hannibal Hamlin. While in this office, one man wrote the South Carolina Exposition and Protest, outlining his doctrine of nullification. This position, the highest held by John C. Calhoun, casts the tie-breaking vote in the Senate. For 10 points, name this national office which was first held by John Adams.
One man who held this U.S. office was sworn in in Cuba, where he died six weeks later, and may have been James Buchanan's lover.
Vice President of the United States [the first clue refers to William King] (accept VP in place of Vice President)