Hi RadarLuv, nice coat. I date it to the late '40s and recommend a burn test for the fabric composition. It's probably wool though - see if you can snip a scrap from an interior seam to test.
Is it winter or summer weight? If the latter, the fabric could be silk - see why burn tests are great, some fabrics are hard to tell by looking at them.
By "hardware", do you mean buttons? They're unusual for this style and I can't be sure they're original. They are nice though.