How do hala, niddah and hadlakat ha-ner as women's mitzvot have to do with shabbat, kashrut and nida?
Following up on Dr. Yisrael Medad's post, please see:
That's fascinating! Have you already done a keyword search in the Bar-Ilan "Responsa Project" database?
It's based on Mishnah Shabbat 2:6. See aggadah there in the Babylonian Talmud and commentators. Ben Eesh Hai discusses the group of three in depth in Ben Yehoyada. There may be others more in the context you're looking for.