Brain Game: Five Chiefs

What do the names of these five U.S. presidents (and no others) have in common?

Grover Cleveland Calvin Coolidge Dwight Eisenhower Ulysses Grant Woodrow Wilson

Here is the SOLUTION.

THE SOLUTION:

Each was known by the middle name that he was born with:

Stephen Grover Cleveland
James Calvin Coolidge
David Dwight Eisenhower (became Dwight David Eisenhower)
Hiram Ulysses Grant (became Ulysses Simpson Grant)
Thomas Woodrow Wilson