Hello,
Since posting the last link to the Airco DH.4, I have received a copy of Les Rogers British Aviation Squadron Markings of World War I. On P.25 there are two photos of A2170, also a DH.4, of 25 Squadron with the drunken crescent moon image shown on the aircraft above, so perhaps it too is a 25 Squadron machine?
One of the photos can be seen here:
https://www.flickr.com/photos/drakegoodman/32292916315
Regards,
Clint