I have never been able to identify it and I never saw a similar model then or since that time.
To me then, still in the 6th form at school, it was just an old Rover. I was far more interested in the latest news from Longbridge where there were rumours of a new miniature car about to be announced. This was 1959 after all!
Anyway, back to this car. It was a sports saloon, quite low slung and rakish in profile. A bit like this picture of the Speed 14, but only at the front.
It was not streamlined at the rear but had the typical Rover spare wheel shaped boot, a bit like this picture. Ignore the rest of the shape of the rear, this is the best pic that I could find of the boot.
I've looked through hundreds of photos while I've been idling at home the last few days but cannot find the right car as I remember it. It's niggled me since the old boy part-exed it for an Austin Cambridge!
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