Yuki-onna, the woman in white

Two men caught by a snowstorm shelter in a mountain hut. A woman in white breathes on old Mosaku until he freezes, then tells Minokichi she had meant to do the same to him.

Wikipedia's article on the yuki-onna sets the scene. One winter day two men were caught by a snowstorm and could not get home. They found a hut on the mountain and slept there.

Hearn, in Kwaidan, has Minokichi wake to find a woman all in white leaning over his companion Mosaku and breathing on him, her breath like a bright white smoke. She then turns to Minokichi. He tries to shout and cannot make a sound. She leans closer until her face nearly touches his. He sees she is beautiful, and her eyes frighten him. She watches him a while, smiles, and whispers that she had meant to do to him what she did to the other man.

Wikipedia adds that old Mosaku froze to death from her breath.

The san-tatsu site of the magazine Sanpo no Tatsujin reports that a local museum in Ōme, the Showa Retro Products Museum, led the setting up of a yuki-onna detective team. The team found many yuki-onna legends in Ōme. It also found that the father and daughter from Chōfu village who told Hearn the story lived near the Chigase ferry, also called the Koise ferry, on the Tama River. For that reason the site gives the ferry, close to the old Ōme post town, as the place where Minokichi saw the woman.