I never heard of "historic archeology". To me it is a tautology.
"Just" taking photographs is not archeology, as that means a scientific activity. That is taken photographs in a controlled manner. And using them in a explorative process.
Historical Archeology is a common phrase in the states. You can even major in it at some universities. It encompasses much more than just photographing - for example, reconstruction of the history of a site from the combination of architectural remains, debris, and written records. In general, the idea is to combine information from a variety of sources, including "digs" on historic sites prior to their redevelopment or being covered up by new construction.
Whenever I build on a site of some potential historical importance, I have to hire a "Historical Archeologist", preferably specializing in the era or type of site I'm developing, to discover whether some precious historical artifacts might be destroyed in the process, and to preserve either the artifacts or photographic records and documentation of them. My specialty is adaptive re-use of old industrial "mill" buildings, and I've been involved in several such projects at one stage or another. In another case, I redeveloped a building in such a way that the old secret room that was a stop on the famous "Underground Railroad" bringing slaves from the South to Canada would be covered up permanently. We took samples, a lot of photographs, and made sure that although access to this space had been eliminated, we didn't destroy anything permanently (i.e. No demolition at all inside the area - it's as it must have been in the 1850s, right down to the dust) but rather just enclosed without damage.
It's a fascinating field, in my opinion!
http://www.nysm.nysed.gov/research-collections/archaeology/historical-archaeology
Andy