Maybe not exactly my usual thing, but I'd put hand-hammered copper in the a similar category to matte green glazed art pottery--classic, but with lots of character, and this bowl, as well as those bowls, I'd describe as Arts and Crafts. The hand-done decoration around the exterior (etched/engraved it looks to me) is certainly Arts and Crafts in style, but looks to me somewhat like a folk art iteration of it, which makes me like it all the more. 1920s or so American I would think and much lovelier than my photos convey.
10 1/8" in diameter x 3" tall and in very good condition with a nice patina to the copper. A bit of greening to the interior, and a bit of irregularity to the form (just off round), all to the good I think. No mark on it that I can see. (There is a piece of tape on the interior of the bowl in one photo, since removed.)