Going back to Brad's original reason for the post, here is my scenario of what happened:
The Electra was south of Howland when AE said 'we must be on you'.
They flew north for a bit, then headed south still hoping to find Howland, but would be happy to see Baker, Winslow Reef, McKean, or Gardner.
They were about to head to the Gilberts (which was her plan, as she told Gene Vidal, if they couldn't find Howland) when they sighted Gardner Island, not knowing which island it was.
AE and FN decided that FN would go to the back of the plane for tail weight and had a somewhat rough landing.
FN injured his head badly on landing.
Not too rough for running the engine, they worked the radio for 6+ days, telling anyone who could hear that they were on an island with the wreck of the Norwich City (Betty), and that ship was on a reef south of the equator (Dana Randolph).
While sleeping inland, the plane started to move with the rising tide.
By the time they woke up the plane was headed for the edge of the reef and they weren't able to unload it.
The plane fell off the edge of the reef (every once and a while in the future flinging a part or two back over onto the reef).
On the day of the Lambrecht flyover FN was incapacitated and AE was inland banging a coconut trying to open it.
AE didn't hear the planes right away because of the noise she was making and the fact that her hearing was impaired from the long flight.
As quickly as she could, she got her kite and flew it off Nutiran (ground zero) where it was captured on a picture from someone in the Lambrecht plane who was looking elsewhere on the island when he snapped the shot, then flew away from the island.(had to put that in there

On the 10th, FN was in so much pain from the head injury, and knew he was dying. He walked into the lagoon and drowned himself to end the pain.
AE inspected the island and settled at the 7 site because of climate comfort, food access, and access to the beach for sighting rescue, as she didn't want to get caught too far inland as she was when on the northern end of the island during the Lambrecht flyover.
She kept a diary with pencil and paper in FN's sextant box, the paper was destroyed by the time Gallagher came along.
AE carved 'AE and FN' onto a Buka tree in the forest near the 7 site, not yet found.
On the 21st she succumbed to thirst and died with one of her shoes on and one of FN's shoes on because she injured her foot either on landing or on the coral.
Her bones are still on Fiji and may yet be found.