Yes that is true, one put on by Havant County Council in Waterlooville precinct. Its mainly classic cars and bikes, but the Solent Renegades get 20 spaces to display american vehicles.
There is another show in Jubilee park, but they are adamant on age of vehicles, so never been to that one, its more like a school fete type thing.
Not sure of any other shows, I can't think the above two would pop up on a Corvette forum, perhaps they know of another show, do you have an address?