I feel like I'm stealing this.
It's the Bristol Barb - a MkII Cooper-Bristol rebodied by Alex McMillan with a Rochdale F-type shell.
Nooooooo!!!!!! It isn't. It's his follow-up car, which was painted in the same colour scheme. It was an Elva Mk I powered by Climax FWA and bodied by Rochdale, chassis no.100/7. That explains the wire wheels - the Cooper had the typical elektron wheels. The year should be about 1956.