http://stuffaboutstates.com/presidents/presidents_state.htm

According to the site above, Cleveleand was born in New Jersey, but his political base was New York. Also:

Presidents whose political base was not their birth state

President Birth state Political base
Andrew Jackson South Carolina Tennessee
Benjamin Harrison Ohio Indiana
William Henry Harrison Virginia Ohio
James K. Polk North Carolina Tennessee
Zachary Taylor Virginia Louisiana
Abraham Lincoln Kentucky Illinois
Andrew Johnson North Carolina Tennessee
Ulysses Grant Ohio Illinois
Chester A. Arthur Vermont New York
Grover Cleveland New Jersey New York
Woodrow Wilson Virginia New Jersey
Calvin Coolidge Vermont Massachusetts
Herbert Hoover Iowa California
Dwight Eisenhower Texas Kansas
Gerald Ford Nebraska Michigan
Ronald Reagan Illinois California
George H. W. Bush Massachusetts Texas
George W. Bush Connecticut Texas

(I had 'em all neat, but the preview showed them close together and not lined up. Hope you can make it out OK.)
Stan