OMEGA watch

I just find this rare OMEGA movement looks from 1915 to 1920 the case is probably 30s size with out crown is 36,2mm I think is from ITALIAN army 1936 1938 ? NOT SURE I say that because I find in ITALIAN FAMILY in a garage sale this sunday for 25$ the old lady told me is on the family since the family came to canada in the 50s.So can be from others place or ? I REALLY DONT KNOW.
So I really need any advise for more expert than I am for OMEGA I am more specialized on Vintage LONGINES. OMEGA I have just fews,with some military fat 53 and 6b/159.
So please light me on this one,The dial is not redone the case have nothing marked,and the movement is also nothing marked,no number no name,I can see is OMEGA movement I have the same one in a trench sterling case,but the trench still have the OMEGA name and serial number.
SO NEED YOUR HELP.
THANKS

Re-dialed, re-cased pocket watch in my opinion. But I have been wrong before.

And not even a real Omega.