The Historical Journal style updates an earlier version put together by Julian Onions.
The University of Cambridge - Faculty of History style basically adds a bibliography to The Historical Journal style. It should correspond more-or-less to the examples on the Faculty of History website here.
Both Zotero styles can be downloaded into Zotero from the Zotero Style Repository. Click on the following links to go directly there:
The Historical Journal
University of Cambridge - Faculty of History
P.S. If you are not already using Zotero for academic work, you should. Here's how Zotero describes itself:
Zotero is a free, open-source research tool that helps you collect, organize, and analyze research and share it in a variety of ways. Zotero includes the best parts of older reference manager software — the ability to store author, title, and publication fields and to export that information as formatted references — and the best aspects of modern software and web applications, such as the ability to organize, tag, and search in advanced ways. Zotero interacts seamlessly with online resources: when it senses you are viewing a book, article, or other object on the web, it can automatically extract and save complete bibliographic references. Zotero effortlessly transmits information to and from other web services and applications, and it runs both as a web service and offline on your personal devices.