So, Saerin led the resistance to the Seanchan at the base of the Whit Tower. She is still on the first floor when she hears of Elida's capture, and from the text it's clear that she hasn't left the room.

The next day, Egwene says that she fetched the Oath Rod early in the morning from Saerin. Why would the sitter not mention, "Oh, the insane Amyrlin who you've been resisting so effectively for the past month was among the captured. You're still an unlawful rebel, but here's a ter'angreal."

So, continuity error? Or was Saerin simply being closemouthed?