If it has the BB logo on the front (or as a zipper pull) it's from before the menswear was cool. (In the literal sense. I don't know that the manufacturing standards ever changed for better or worse.)
For a while I had an unlined cotton sportcoat with the same black tag and numbered sizing that I got off eBay. It was nice, very tidily constructed. But I resold it after I found other jackets that fit better.