I'm guessing that the engine is the 2.2-litre from an Austin/Morris LD-series van. Carnut has identified the licence plate as being from the 1950s, and he's an expert on that side of things, so I reckon this car was built using parts of a van from that date. It's possible the builder had an old vintage chassis, and mated the 2 together.
I've searched in vain. The photo looks like it could have been taken at a classic car meeting (although the Morgan alongside could be from just about any decade!) and I have looked through the issues of a well-known magazine for 1983. Is this photo from a magazine?