The wife did this a few years back, except instead of mounting a curb, it was actually a divider between the main roadway and a side road / layby thing, with the side road being somewhat lower height than the roadway.
As a result, she ended up straddled across the two balanced on the underside of the car.
I had a 40 minute drive to get to her, then once I'd worked out what had happened (her description was less than factually useful, and punctuated by crying anyway, as she'd miscarried a few days earlier - was not a good time), I had to find a diy shop, buy some bricks, so I could jack the car up, put the bricks under the suspended side's wheels, drive it forward 6", move the back brick to the front..... and eventually get it off. It took hours from me leaving the house to us both being back home.
We both now pull over 'when safe to do so'