Air Force Cross
Possibility #1-The decoration was awarded years after the action in
which it was earned:
The Air Force Cross was created after World War II. But on two
occasions it was awarded to World War II Army Air Force veterans for acts during
that war who were recommended for the Distinguished Service Cross but were never
awarded that decoration. These two awards were announced in the Department of
the Air Force's general orders, decades after World War II.
Possibility #2-The general order issuing the decoration is missing from the files at the National Archives:
Please consult the web page for the book you purchased, to see if any general orders were missing. Just because there are missing general orders does not prove that the claimed decoration was actually issued. Try locating a copy of the veterans discharge to see if it has the general order number listed after the decoration.
Possibility #3- There may be an error in the spelling in the original document or error may have occurred while transcribing the information from the original source:
Statistically the transcription error rate is 5%, I try my best to reduce the possibility of errors, but they do occur.