Are Hanyuan Jiuxiang and Jiuxiang the same place?

Yes, in the early days of the founding of New China, the administrative establishment was rather complicated. Later, in the streamlining, nine townships were established, which means that many townships were merged. Later, in order to standardize the place names, the "Nine Townships" were standardized as "Nine Townships" so far.

So Jiuxiang and Jiuxiang are the same place, and the standard writing is Jiuxiang.