The German surname "Herbig's" is a tentative reading of this well-weathered painted sign. Beginning in the mid-1800s many German immigrants began making their new homes in Hudson County, New Jersey. Indeed, in Union Hill, a town later absorbed into Union City, German became the language for keeping the minutes of town meetings.
The market's former stock in trade is a little easier to make out (especially once you click on the photo for a closer look). Framing the shop's name are the words "meat," "fish," "vegetables," and "groceries." The word in the center is illegible to me, however, as is most of the last line. All that I can make out is the first word, "oyster."
Herbig's Market
Surviving signage, 1812 New York Ave. (18th-19th Sts.), Union City, New Jersey