[pjc50]

privately owned

I think that's also misleading; it's not a 'corporation'=='limited liability company with shares'. It's not a "capitalist" institution, it's a pre-capitalist feudal institution that predates the LLC by centuries. It's an elected local body with an unusual electorate.

[scholia]

The bridge (if built) will be owned by a charitable trust, and government funding covers roughly one third of the projected cost.