Are Hexian Gongqiao Town and Xinqiao Town the same place?

Yes, it is a place. It has always been called Gongqiao in the past. Because there is an ancient bridge in the west of the town that is arched, it is named Gongqiao (I heard from the elders, maybe the word "arch" is the same as "Gongqiao"). The similar pronunciation of the word Gong and the local dialect have led to misunderstandings. It is said that there is no research on this, so please forgive me). Later, when living conditions improved, it was called Xinqiao, but it is not known when it was called Xinqiao, but it is still called Xinqiao now. Many people can't change their words and still call it "Gongqiao". However, it is also called "Gongqiao" in local administrative documents (for example, ID card), and sometimes "Xinqiao" appears in inter-governmental documents.