This is the logo of the All-American Girls Softball League, as scanned from a 1943 score card.  The league would go on to be known as the All-American Girls Professional Baseball League.
Otis Shepard
Scanned from a 1943 All-American Girls Softball League program, available here: <a rel="nofollow" class="external free" href="http://www.borchertfield.com/2019/06/1943-aagpbl-scorecard-on-ebay.html">http://www.borchertfield.com/2019/06/1943-aagpbl-scorecard-on-ebay.html</a>