She shows up with Karen at the train platform and they look for Minor.
Minor! And a full complement of six brothers, this year - James and Samuel are of Hogwarts age.
"Hi Miranda! Not really - Mum can and Timothy can but everyone else we can fool if we're trying -"
"I talk more, Samuel never buttons his cloak -"
"I did today," objects his brother.
"- unless it's a very important occasion, then he buttons it but he's off by one."
His brother looks down at his cloak, sighs, and starts correcting the off by one buttons.
"Hullo - how were your summers -"
"Ooooh! There's an empty classroom at Hogwarts with a piano, it was dreadfully out of tune but I tuned it. Fourth floor."
"What elective courses did you two pick?"
"Arithmancy, Runes, and more Runes."
"Yes, we've heard."
"Healing? Is there a recommended self-study curriculum for that or are you trying to develop one?"
"Cool!" He's Head Boy; has the badge and everything.
"I wanna get on the train before it's full -"
"Minor writes every few days and gets all the pocket money he pleases. In case you were trying to sort out where your incentives are."
"That depends how you're doing your inferences and your decision theory! So if you think that Minor writes more and therefore gets pocket money, you could write more expecting to get more pocket money. But what if instead you think that Minor just writes more for reasons that are related to the reasons he gets more pocket money, namely that he's Father's favorite - well, then, writing more won't make you Father's favorite, but arguably being the kind of person who'd write more does -"