Anna, that's crocheting, not knitting. Look at the one needle.
no not even close
That was one of my first "If I HAVE to guess" guesses, but yeah, there's a lot it doesn't explain. Also, "No one has a Dam," though that could be deliberate misdirection.
Mainly, though, it's going to be wrong; it has to be the 3rd guess that is right.
Of course. What else has a weaving motif? Fate. Who symbolises fate, while also killing (in a roundabout way) with threads and knitting?
Madame Therese Defarge. It's so obvious. I don't know why I didn't think of this before.
Wait, yes I do. I didn't read A Tale Of Two Cities.
Incidentally, I'm now split 50/50 between Defarge and Moriarty. The callousness (I wouldn't label it as "cruelty"), Machiavellian-ness, and hidden-in-plain-sight-ness could belong to either of them, and the story seems to highlight the callousness above a lot of his other traits (pointing towards Defarge), but this IS Anna's first guess, meaning she is Bound to have an 90% chance of getting it wrong.
Well, as pointed out, can't guess right on the first try.
It is odd that "no one has a dam". Even if a lot of the older stories over the course of several thousand years of history are indeed male...
Then again, my first instinct was Arachne, but she has nothing to do with chess. Nor do any of the Fates or Muses -- though a female ancestor would be nice, and mean this dude was trying to imply falsehoods to throw Anna and Susan off.
*looked up Mdm Defarge and HOLY CRUD* Confession: I've never read tale of two cities. And I suppose, given Anna's love of the literary, that the Binding might let her be right on the first guess since she's such a bookish badass. I mean, yeah it's a bunch of chapters in but it'd do a lot to establish her character with this new antagonist. Or...hm. *overthinking*