It's based on a Jaguar Mk IX and it's from 1959, but that's all I know.
I can even tell you your puzzle photo was taken at the Helmingham Hall Festival of Classics and Sports Cars on 25th July 2010 using a Canon EOS 450D camera, but I still can't tell you the car's name!
I actually had the pictures below saved for a future puzzle but I never posted it as I couldn't find enough out about the car...!