1) Biographer 2) Historian 3) Historiographer 4) Someone who writes chronicles 1) Historian 2) Storyteller 
A chronicler is one who writes chronicles. ==Spain== In Spain, a chronicler or Cronista is the writer who collects historical or current facts and writes them. Until the time of the illustrations, he was the equivalent of a historian and occupied this as an official function to perform this activity properly. The appointment of the official chroni...
• (n.) A writer of a chronicle; a recorder of events in the order of time; an historian.
Chron'i·cler noun A writer of a chronicle; a recorder of events in the order of time; an historian. « Such an honest chronicler as Griffith. Shak. » 
[n] - someone who writes chronicles
chronicler A writer or compiler of a chronicle, a recorder of events.
noun someone who writes chronicles