One of the best things about George R. R. Martin's A Song of Ice and Fire lore is that he has given names to the famous swords of famous characters and Houses. A few noble Houses still have a Valyrian steel sword in the family, while others have had theirs unjustly taken away or lost. Per Game of Thrones, House Tarly's sword Heartsbane is likely in Samwell's possession, and the rest are scattered here and there.