S.E.
It looks to me as if these two places, Star Registry and International Star Registry, are the same. I found an article online:
http://www.wired.com/techbiz/media/news/2001/12/49345
which quotes a magazine editor from the Astronomical Society of the Pacific in SF. I used to work there and have a lot of faith in their opinion. Here is an excerpt:
Founded in 1979, ISR has sold over 1 million of their full-color "Name A Star" parchment certificates. Figuring there are between 400 billion and 1 trillion stars in this galaxy alone, selling names for them at nearly $50 each sounds like a license to print money.
But International Star Registry certainly doesn't have a license to name stars. Robert Naeye, editor of Mercury Magazine, a publication of the Astronomical Society of the Pacific, puts it in no uncertain terms: "The star names sold by the International Star Registry are not recognized by any professional astronomical organization."
Good-luck.