If mittimus refers to prison, then is there a companion word for reference to a jail?

'Cording to the 'Lectric Law Library's Lexicon http://www.lectlaw.com/def2/m130.htm the corresponding word for reference to a jail is mittimus. Course that's just for criminal law. In English law it has nothing to do with places of incarceration, least 'cording to the 'LLLL.