I have a cousin whose maiden name is Diamond, and if she were Jewish, it would be news to everyone, including her.
As someone else pointed out, Jewish names are very often comprised of a precious metal (or even a non-precious metal, e.g. the German Eisen, "iron") and a Germanic suffix such as -man(n), -berg, or -stein, or I would add, something found in nature, such as a tree or plant (e.g., Rosenblum "rose flower" or just Baum "tree"). If I understand correctly, Jews did not have proper surnames, so when they were forced to adopt them, they had to pick something. Possibly the metal names and nature names just "caught on" among them.
I have also had to wonder about Portuguese names that are also the words for various kinds of trees, e.g., Pereira "pear tree" or Oliveira "olive tree". Could those originally have been Sephardic names?