I have always wanted to find one watch with the DH marking and finally found one at a very reasonable price point. Moeris was founded in 1893 in St. impiety by Moeri & Jeanneret.
Info on German Military Watches - WWII Era from the internet:
The German Army had special pocket watch and wristwatches for their Officers and special functions. (Deutsches Heer - german) - The German Army. Letters DH designated the watches made in Switzerland under the military order for Germany during the WWII.
For Germans such watches were produced and retailed: ARSA (Auguste Reimond), Alpina, Mulco, Titus, Minerva, Record, Zenith, Silvana, Helvetia, Longines. And also (mixed up with German): Buren, Doxa, Dogma, Glycine, Gala, Mimo, Phenix, Record watch Co., Recta, Para, Leonidas, Revue, Tritona, Wagner, B.W.C., Grana, Helios, Moeris, Helma, Siegerin, Vogele, Zentra, Laco, Stowa ,Wempe, IWC, A. Lange & Sohne, Hanhart, Glashutte.
The pocket as well as the wristwatch had screwed backs and were shock resistant. The dial was black with a small second hand with radium digits and hands. The back was marked "D.H." (Deutsches Heer), with the case number. The watches were partly deployed and written into the soldier's book, and also sold to army staff. It is not entirely clear what D H stands for. Some writers suggest the D stands for Deutsches (Germany) and the H for Heer (Army). However, I prefer the interpretation given by Konrad Knirim (http://www.knirim.de/english.htm), who has written that the D stands for Dienstuhr (Service Watch) and the H = Heer (Army). However, it is not entirely clear that DH watches were originally intended for the Army alone, given documented instances were the service record books of members of the Luftwaffe (Air Force) have been found with DH watch serial numbers written as issued to these troops. In addition to watches marked with D....H, there are some identical watches with only the letter D in front of the serial number and no H after the number. Collectors speculate that these D only watches were for the Luftwaffe. Others speculate that these watches were used by Para-military personnel such as those working in railroads. However, given that the WWII German records have been lost we really don’t know for sure how these watches were issued.