sounds like he's talking to someone outside his family, possibly Rey or Finn.
If he was talking to Ben Solo, he'd refer to Leia as, "your mother," not, "my sister."
Older now, white hair, bearded. He looks at Rey. A kindness in his eyes, but there's something tortured, too. He doesn't need to ask her who she is, or what she is doing here. His look says it all.
His hair and beard were white, and his countenance was haunted.
"Haunted" is an interesting word. Maybe he knew her before and thought she was dead, or he saw her in a vision, or she is a reincarnation, or maybe had been prophesied about like Anakin.
Him believing her to be dead could justify his presumed negligence in regards to protecting his wards.
Around her now: barren, snowy woods, the sound of unknown forest creatures, and a conviction that she must be losing her mind. Once more she climbed to her feet, her chilled breath preceding her. From in front of her, not far away, came the sounds of battle: the cries of the wounded and the clashing of weapons. Then behind her, another voice. That voice. "Stay here. I'll come back for you." She whirled, glazed eyes desperately scanning the dark gaps between the slender trees, trying to penetrate the darkness. "Where are you?" She started running toward the voice. "I'll come back, sweetheart, I promise."