The top photo is the remains of an Imp powered dragster built by Mick Wheeler for £100. Classed as a ‘mini rail' ‘The Scorpion’ ran 12 second quarter’s at 104 mph, and was powered by a 998cc Imp engine. Mick actually laid down in the dragster which was just a chassis with a motor attached at the rear end. If I can find a decent photo I’ll post it here.
The G/class dragster was later sold on to John Rotherham in 1970 before, as you say, to a female racer. Some more research will no doubt reveal the young lady’s name, probably the last time she ever drove a dragster! John, on the other hand later went on to race ‘Avanti’; the last remaining Allard Dragon kit dragsters in ‘73.