JERSEY CITY | Where’s the party? The question tends to be very popular this time of year, especially on May 5 — better known as Cinco de Mayo. This celebration of Mexican pride dates back to May 5, 1862 when the Mexicans scored an unexpected victory over the French army in the Battle of Puebla. New Jersey may not hold the parades like our neighbors south of the border, but restaurants maka pretty big deal about it.