The father and daughter did not instantly recognize each other through some telepathic connection; it was after some conversations that the young lady learned of the Prince's purpose for coming.
After some exchanges, the mystery of her life story began to unravel.
The Prince was furious, and on the spot, he had the married couple brought down from the mountain and banished the merchant family to the border.
The Prince wanted to take his daughter with him but didn't think the young man was worthy of his noble daughter and attempted to separate them.
The young lady swore she would not comply and recounted how the young man had saved her years ago.
Only then did the Prince realize that the young man was a righteous and faithful good man.
So he accepted them both and personally petitioned the Emperor to name the mountain the Cliff of Love.