Apparently, these were called "coppers" and were valued at 15 per one shilling. Were they just called coppers or what denomination were they considered?
You’re talking colonial and postcolonial issues when you refer to New Jersey coinage. The colonial issues were originally struck in Dublin from 1663 to 1672 those are known as Saint Patrick coppers. In May 1680 to the general assembly of New Jersey made them legal tender in America. The legislature did not specify which side piece could circulate only that the coin was worth a half penny in trade. For the postcolonial issues the New Jersey General assembly on June 1 of 1786 gave authority to coin 3 million coppers. The coppers were to pass at 15 to the Schilling. There were certain conditions that had to be met before being coined. Three people were granted authority to do the coinage and it was done in numerous places. In all more than 140 varieties of New Jersey coinage exist in 1787 and 1788. The majority have the horses head facing to the right but there are varieties with the horse facing to the left. Also other varieties have a sprig under the head, Branches below the shield, stars and numerous other ornaments. But yes they were all called Coppers but so was copper coinage produced by other states. Remember the time, Post-colonial period.