None of the three names listed appear on Mount Rushmore. The four presidential faces carved into the Black Hills (1927–1941) are:
Gutzon Borglum (sculptor) chose them to represent the nation's birth (Washington), growth (Jefferson), development (Roosevelt), and preservation (Lincoln). The Lakota call the mountain Tȟuŋkášila Šákpe (Six Grandfathers)—the carving remains contested.
Franklin D. Roosevelt (32nd) ≠ Theodore Roosevelt (26th). John F. Kennedy (35th) — never proposed. John Adams (2nd) / John Quincy Adams (6th) — not selected. The four are deliberately non-overlapping in era and theme.
Mount Rushmore is a specific historical argument in stone—not a hall of fame for all greats.