Ice is melted down on Tywin Lannister's orders by a Volantene blacksmith brought to King's Landing to make Jaime Lannister a new sword. However, due to Ice's substantial size, there's enough Valyrian steel to make two longswords. When Jaime asks about the source of the Valyrian steel, Tywin simply replies that "the previous owner no longer needed it." Tywin Lannister also callously burns Ice's wolf-pelt scabbard as an even further gesture of spite and dishonor towards the Starks.
The second blade is given to King Joffrey Baratheon as a wedding gift at the breakfast before the wedding ceremony. Of all the names proposed by the attendants, Joffrey chooses "Widow's Wail".
Jaime later gives his yet-unnamed blade to Brienne of Tarth to aid her in her task of rescuing Sansa Stark. He reasons that it is appropriate for Ned Stark's daughter to be protected with a sword forged from her father's own sword. Brienne chooses the name "Oathkeeper" to honor the oath she swore to Catelyn Stark.
