Question: do any of the originals die in the originals

Answer: Yes, He is killed in the season 3 episode ``The Murder of One'', when Stefan, Elena and Matt kill him, thinking that it will kill all of the Originals due to their ``linked'' status. However, Klaus manages to force Bonnie into unlinking the siblings moments before Finn is killed. It is revealed through Finn's death that when an Original dies, all vampires of his or her bloodline die as well.