Might be easier for some to declare who'd they'd vote "off the island" so to speak.
http://en.wikipedia.org/wiki/Hall_of_Fame_for_Great_AmericansClassification of honorees 
The first 50 names were required to include representatives of a majority of 15 classes:
authors and editors 
business men 
inventors 
missionaries and explorers 
philanthropists and reformers 
clergymen and theologians; 
scientists 
engineers and architects 
lawyers and judges 
musicians, painters, and sculptors 
physicians and surgeons 
rulers and statesmen 
soldiers and sailors 
teachers 
distinguished men and women outside of these classes 
George Washington 
Abraham Lincoln 
Daniel Webster 
Benjamin Franklin 
Ulysses S. Grant 
John Marshall 
Thomas Jefferson 
Ralph Waldo Emerson 
Robert Fulton 
Henry Wadsworth Longfellow 
Washington Irving 
Jonathan Edwards 
Samuel F. B. Morse 
David G. Farragut 
Henry Clay 
George Peabody 
Nathaniel Hawthorne 
Peter Cooper 
Eli Whitney 
Robert E. Lee 
Horace Mann 
John James Audubon 
James Kent 
Henry Ward Beecher 
Joseph Story 
John Adams 
William Ellery Channing 
Gilbert Stuart 
Asa Gray 
Later groups
Added in 1905:
John Quincy Adams 
James Russell Lowell 
Mary Lyon 
William T. Sherman 
James Madison 
John Greenleaf Whittier 
Emma Willard 
Maria Mitchell 
Added in 1910: 
Beecher Stowe 
Oliver Wendell Holmes, Sr. 
Edgar Allan Poe 
James Fenimore Cooper 
Phillips Brooks 
William Cullen Bryant 
Frances E. Willard 
Andrew Jackson 
George Bancroft 
John Lothrop Motley 
Added in 1915: 
Alexander Hamilton 
Mark Hopkins 
Francis Parkman 
Louis Agassiz 
Elias Howe 
Joseph Henry 
Charlotte Cushman 
Rufus Choate 
Daniel Boone 
Added in 1920:
William Thomas Morton 
Samuel Langhorne Clemens 
Augustus Saint-Gaudens 
Roger Williams 
Patrick Henry 
Alice Freeman Palmer 
James Buchanan Eads 
Added in 1925:
Edwin Booth 
John Paul Jones 
Added in 1930:
James McNeill Whistler 
James Monroe 
Matthew F. Maury 
Walt Whitman 
Added in 1935:
William Penn 
Simon Newcomb 
Grover Cleveland 
Added in 1940:
Stephen Foster 
Added in 1945:
Booker T. Washington 
Thomas Paine 
Walter Reed 
Sidney Lanier 
Added in 1950:
William C. Gorgas 
Woodrow Wilson 
Susan B. Anthony 
Alexander Graham Bell 
Theodore Roosevelt 
Josiah W. Gibbs  
Added in 1955:
Wilbur Wright *
Thomas J. Jackson 
George Westinghouse 
Added in 1960:
Thomas Alva Edison 
Henry David Thoreau 
Edward A. MacDowell 
Added in 1965:
Jane Addams 
Oliver Wendell Holmes, Jr. 
Sylvanus Thayer 
Orville Wright *
Added in 1970:
Albert A. Michelson 
Lillian Wald 
Added in 1973:
George Washington Carver 
Louis D. Brandeis 
Franklin D. Roosevelt 
John Philip Sousa 
Added in 1976:
Clara Barton 
Luther Burbank 
Andrew Carnegie 
The inductees voted on in 1976 (and Brandeis) do not have busts at the Hall.
 Nominees not elected
In addition to Constance Woolson and Jefferson Davis, the following people were nominated at least once but not elected:
John C. Calhoun, Horace Greeley, Ephraim McDowell, Richard M. Hoe, Adoniram Judson, Henry Wheaton, Hiram Powers, Louisa May Alcott, Dorothea Dix, Alice Cary, Lydia Huntley Sigourney, Theodore Dwight Woolsey, Martha Washington, Francis Wayland, Frederick Edwin Church, Sarah Franklin Bache, Horace Bushnell, Mary Washington, Matthew Simpson, William Austin Burt, Ottmar Mergenthaler, John Eliot (missionary), Helen Hunt Jackson, Robert L. Stevens, John Jay, Samuel Adams, Sacagawea, Benjamin Thompson, James A. Garfield, William McKinley, Cyrus McCormick, Henry George, George Rogers Clark, Charles Follen McKim, Henry Barnard, Borden Parker Bowne, Edward Austin Sheldon, Peter Bulkeley, Lucretia Mott, Elena Petrovna Blavatsky, Sarah Josepha Buell Hale, William Lloyd Garrison, Wendell Phillips, John Singleton Copley, Andrew Johnson, William Henry Harrison, Chester Alan Arthur, Benjamin Harrison, S. Weir Mitchell, William Brewster (Pilgrim), William James, Warren G. Harding, William Beaumont, Elizabeth Blackwell, Benjamin Peirce, Robert McCormick, James K. Patterson, Elizabeth Seton, Calvin Coolidge, Paul Dunbar, John Ireland (archbishop), Judah Touro, William Henry Welch, Joyce Kilmer, George Caleb Bingham, Paul M. Warburg, John Stevens (inventor), Karl Landsteiner, Jacob Schiff, Nikola Tesla, Noah Webster, Henry Ford, Charles Evans Hughes, Fiorello La Guardia, Babe Ruth, John Shaw Billings, Gilbert N. Lewis, Crawford Long, George M. Cohan, Al Jolson, Lou Gehrig, Johnny Appleseed, Amelia Earhart, Chief Joseph, Wyatt Earp, Huey Long, Will Rogers.