This is the holster that I just sourced for my 1944 Walther P38 pictured below. By 1944 they had pretty much stopped making hard shell holsters (they do exist). Instead they supplied the pistol with a breakaway style holster as here. Folks call them a soft shell holster but that is incorrect.
This example is stamped bla 1944 and has the waffenamt WaA159. BLA is the code for the manufacturer E.G.Leuner GMBH in Bautzen. Interestingly the holster is also personalised to the U.S. Army soldier who captured it (or won it in a card game). Inside the flap is the name Henry J. Lavrich and his ASN 33688587. A quick googling reveals that Henry came from Pennsylvania, enlisted in 1943 and served in the 2nd Armoured Division in Europe. He passed away in 2011. An additional modification on this example is the cutting away of the upper, underneath the flap. This is common in these holsters and I expect it was an act by the user to make the holster easier to draw from.
The holster also contains a e/359 stamped magazine which is the correct magazine for this pistol.