"NEOMA, why are you still up?"
"I'm soaking the Moonlight," Neoma said while standing on the deck of the ship, her elbows on the railing and her hands cupping her face. "Grandpa told me that borrowing the power of the moon will help me recover my strength faster. I want to see Tteokbokki, Mochi, Soju, and Kimchi the soonest, so I'm soaking up as much as Moonlight as I can before the moon disappears."
Hence, she was here instead of sleeping.
On the other hand, Hanna was training in the cabin. Her cousin's training required total darkness in the room, so she decided to step out and soak in the moonlight.
[Hanna isn't worried because she knows Ruto will follow me, and she's right.]
Anyway, the ship they were boarding was headed to the island where her appa, Gavin Quinzel, was literally frozen alive. But they were only boarding that ship to get close to the island. Once the exact location was nearby, they would use a teleportation scroll.