There are conflicting dates in the 2 reports. But if she was in fact last seen at Galehead Hut on the 29th, check out the flow on the 30th.
The F&G release, which was mentioned in this thread, specifically states "Hikers had spotted someone who they believed to be Cocuzzo on the evening of September 29 staying at the Gale Head Hut atop Garfield Ridge. This informed officials that Cocuzzo had arrived in New Hampshire a week earlier than previously thought." The implication was that this twigged F&G to the possibilities raised by rain on the 30th and perhaps expanded their search further down-drainage.