The couple then resorted to stopping, turning off the ignition and looking at the ground, but seconds later the elephant rammed into them.
"The next thing I heard was Jans screaming at me, 'Drive! Drive!"' Brooks said.
"I somehow managed to turn the engine on, Jans found reverse, but just as I got it going, the elephant tipped us up.
"Then he crushed the undercarriage by ramming it with his head, and the key snapped out of the ignition. I remember thinking, 'We're never going to be able to drive away now', and the next thing I knew we were rolling.
"At that moment, your life flashes through your head. I thought, 'We've only been together a year and a half, life's good. Why now? Why the hell now? It just isn't fair.' I didn't know if either of us would live."
She recalled how the bull elephant twice missed her when his tusks ripped through the car before one pierced her leg, leaving her streaming with the blood.
De Klerk, who was left unhurt, managed to pull her across to his side of the car.
The elephant walked away only after pushing the car against a tree and smashing the windscreen.
The incident was captured on film by tourists in a car behind, but they drove off after the attack, believing the pair to be dead.
The distressed couple, who feared attacks from other animals, waited for help after phoning de Klerk's brother but it was 25 minutes before a helicopter landed.
"In the back of the ambulance, I said to Jans, 'I don't want ever to spend another day apart from you.' He said, 'Marry me then?' I said: 'Yes'."
She pleaded with the tourists not to publish the footage, but days later an edited version went viral.
The male elephant was destroyed after the incident. It had been "on musth", where testosterone levels rise and elephants become more aggressive, and had fought with another elephant earlier that day.
The couple said park rangers told them they were "just unlucky" and had done nothing wrong.
- AAP