Well, I've just been thumbing through my 1963 Veteran Motor Car Pocketbook, and amazingly there is a picture of a very similar looking car.
So this is a Turner-Miesse steam-powered car, circa 1904. Turner & Co. of Wolverhampton was an established engineering company which started importing Miesse cars from Belgium in about 1902, but from a couple of years later started making cars under the Turner-Miesse name. Although their adverts claimed that they were "built entirely in England", it seems that they may have imported them as complete running chassis, but details are sketchy.
There were different models (I think the puzzle picture is the 15 hp), but they all had a paraffin (kerosene) fired flash boiler under the bonnet, and a 3-cylinder single-acting engine mounted transversely under the floor, geared to a differential countershaft, with chain drive to the rear wheels (shaft drive from 1907).
Below is an ad from 1904, and an interesting snippet from the Pocketbook about the steam generator.