As a follow up to an earlier post, I managed to run down some scans of old issues of "The Alarm", the anarchist newspaper published in Chicago by Albert Parsons. In number 4, October 25, 1884, he published a translation of the Herwegh lyrics under the title "Bread is Freedom". The translation is uncredited, so it's not yet clear whether it's Parsons or someone else who set it into English.