Does Wata no Kunihoshi manga have a continuation after chapter 6, or an anime adaptation? The manga is called Wata no Kunihoshi (in English, "The Star of Cottonland") and it is a shōjo manga by Yumiko Ōshima.

It's about a kitten girl named Chibi NeKo. I've read all the way to chapter six, and can't seem to find a chapter seven.

Do you have any information at all, regarding the continuation of the series or any adaptations it may have had in animation?
Wata no Kunihoshi has a total of 24 chapters, divided in 7 volumes, which were published between 1978 and 1984. There was also a movie, released in 1984.

Fortunately, someone might have heard your request, and chapter 7 got a fan translation just a few days ago (August 10). I'm sure you can find it. Hopefully the rest gets translated too, at some point.