A variant of the Flag of the President of the United States designed in 1902, as depicted in a 1903 book.  It depicts the Great Seal but with an altered crest.  This version was used (among others) until all were replaced by a new presidential flag in 1916.
Silver, Burdett, &amp; Co.
1903
<a rel="nofollow" class="external text" href="https://books.google.com/books?id=6_EXAAAAIAAJ&amp;pg=PA144-IA1"><i>Historical Readings Illustrative of American Patriotism</i></a> by <a href="https://en.wikipedia.org/wiki/Edward_S._Ellis" class="extiw" title="w:Edward S. Ellis">Edward Sylvester Ellis</a>, 1903.  Plate III following page 144.