Chronicle histories (Drama)
Docudramas (Literature)
Documentary drama (Literature)

Wilson, E. The theater experience, c2004, via McGraw-Hill Higher Education online learning center, Nov. 14, 2012: glossary (History play: In the broadest sense, a play set in a historical milieu which deals with historical events and personages)
LCSH, Oct. 22, 2014 (Historical drama. UF Chronicle histories (Drama); Chronicle plays; Docudrama; Documentary plays; Historical plays; Verbatim plays)
Arader, M. Reality show : the diverging paths of documentary theater, c2001, viewed online Apr. 17, 2012 (Also known as documentary drama, reality theater, and theatrical journalism, today the term documentary theater seems to indicate that most of the dialogue for a piece is verbatim transcription of what people actually said. Beyond that, documentary theater may take many of the same dramatic licenses allowed fiction pieces.)

Plays set during a recognizable time period prior to the time in which they were written.