Judging by Homer I do not believe that Oedipus had children by Iocasta: his sons were born of Euryganeia as the writer of the Epic called the Story of Oedipus clearly shows.
The authors of the Story of Oedipus (say) of the Sphinx: “But furthermore (she killed) noble Haemon, the dear son of blameless Creon, the comeliest and loveliest of boys.”
