This back will fit most any Burke and James 5X7 ever made. It fits this one (there was a url link here which no longer exists).
Its in great shape! Ready to use. Dates to early to mid '60's I think. Note that it is the more handsome clear finish, not the ordinary battleship gray.
It'll take $12 to ship this in USA. $65.00! They go much higher on creepybay but I'd love to just sell it here.