The next few weeks of school pass well, and Anathema's accepted as the Ravenclaw Quidditch reserve after continued recruitment attempts fail to find any older students eager for the position, though the first fully official Quidditch game of the season - Gryffindor versus Slytherin - isn't until the middle of November. Ravenclaw's first match (against Hufflepuff) won't actually be until January - the second match of the year, but apparently most of them are spread out over second semester.
Classes remain rather easy for both girls, but their professors and the TAs are fairly universally amenable to recommending more challenging side projects or reading. Dumbledore caves rather quickly to complaints about keeping Snape through the end of the year, announcing he'll be stepping down at the beginning of the Samhain holiday. (Samhain is, as promised, a massive holiday, with events spilling out all week. It's dedicated to remembering and honoring the dead, mostly, with some traditions treating it as the new year.)
The Potions Master who replaces him requests that everyone attend at least one class with her. She's a fairly old woman with laugh lines carved deeply into her face and a propensity for cheerfulness, who introduces herself as "Professor Alethea McGonagall - though for the sake of disambiguation you all may use my maiden name, Cleary. I likely won't stay until next year, as I'm currently taking leave from my work at Minerva dear's request, though perhaps fortune will bring strange tides." She sets up heatless lights all around the potions classroom, gives them all new Potions textbooks ("Your old one isn't exceptionally terrible, but I do think it works better as a reference manual once you have already learned the craft, but before you have mastered it."), and overall establishes a cheery atmosphere. She strongly encourages the students to question her, and actually allows their class to vote on which potion they'll start on the next week.
Professor Quirrel moves into the Roman period of Britain, and actually offers Ellie and Anathema a research project - one he believes is more at their level.