I think it sounds reasonable that they will have introduced themselves. Hermione was raised properly and in Taravast at least, her strategy was: 1. talk someone's ear off about something, 2. "Oh, I'm Hermione Granger."
So he will have learned her name, absolutely. Following that they can have a Spiderman-points-at-Spiderman moment about having spoken on the network.
(Sidebar, she will be very.../sideeyes about the eyes, my dude. What's up with that.)

And she made progress in the end, having managed to brew some potions by the end of our tenure in Taravenice. It's all in her bottomless bag - he can ask ;)
/strokes chin MAYBE we can have a lil thread for this.