The Flag of the President of the United States, in use from 1916 to 1945.  It was first defined in Executive Order 2390 under President Wilson.

Previously, there were presidential flags from both the Army and the Navy of different designs, though both used the Great Seal as the central motif.  The Navy version was too close to the Army's infantry flag, so they generally didn't use it.  To solve this and only have one presidential flag, it was decided to add four stars to the Navy version.  President Wilson then additionally wanted to use the eagle from the Seal of the President of the United States (which faced to its left) instead of the Great Seal, and thus the eagle was also changed to be based on a Bailey Banks &amp; Biddle print of the presidential seal.
Made per the specifications in Executive Order 2390.  Most of the eagle was taken from File:Seal Of The President Of The United States Of America.svg, with the clouds being taken from File:US-President-Seal.svg, both works of the U.S. government.
U.S. Government