in the eastern part of New Jersey是句子的宾语,为了强调被提前到了句子最开始,普通顺序应该是 The city of Elizabeth,a major shipping and manufacturing center,lies in the eastern part of New Jersey.
lie是不及物动词,加上in之后才可以跟宾语的.
也可以这样As a major shipping and manufacturing center ,the city of Elizabeth lies in the eastern part of New Jersey.