Phaeton by Automobilia?
No,
It is shorter than a normal Mini. Is it a Mini body [front end] on another base?
I don't know if uses any Mini parts apart from perhaps some of the lights, door hardware and maybe glass.
Wheels could be from a Reliant. Is it Kitten-based?
No.
Going from memory as out of the country at the moment, but is this the Electric Mini, made in the 1980s by RMB, better known as the people that made the Gentry TF kit car?
What a memory!
Yes, this is made in glassfibre by RMB and is obviously a copy of the Mini, though as I said I don't know if it uses many Mini parts (I don't think the grille is even a real Mini grille).
It is an electric car, but it does have a name which is not The Electric Mini, so I'll lock it for you to reach into the depths of that memory and see if you can come up with it!