According to the following article, Peret occurs in early January:
I see there’s also quite a number of articles on the web that claim an October date per your suggestion as well which indicates that I need to look to the primary sources and evaluate.
The notion you speak of moon at her feet could indicate Reret The hippopotamus who Lull and Belmonte have indicated has multiple names including Isis Djamet. The original translation of Ruddjedet in Erman was more like Redjamet from memory. Djamet I think is a link to the Greek goddess Demeter again pointing to me to the scene I have described in January.
I have suspected that Reret is Ruddjedet but haven’t published my interpretation on that yet.