"We were trying to start it [the jet ski] up, but it wouldn't turn back on," she said.
"My stepbrother, Van, got really, really scared and started having a panic attack.
"I was crying. I actually thought we were going to die.
"I don't really know what we would have done if he [Mr Parata] wasn't there."
The trio, who were all wearing life jackets, went fishing about noon and Samantha estimated they were about 2km offshore before drifting in.
It took rescuers "ages" to find them, she said.
Dr Leaper was the "hero of the day", she said.
On shore, Samantha's mother, Luana Baird, was waiting. "She ran at me with a full-on hug," she said.
"I don't think I'll be going in the sea for a while."