But Ms Abbas said Mr Kurdi was the driver of the boat, and the man she paid to book her passage told her it would be safe because the driver was taking his wife and two children.
"When I lost my kids, I lost my life, how can he lie to the media?" her cousin Ms Tahseen said, translating for Ms Abbas."
He said, 'Please don't dob me in.' That was in the water."
Ms Abbas said Mr Kurdi was speeding in the overcrowded boat, which did not have enough life jackets.
She said her husband told him to be careful just before the boat capsized, reportedly killing at least 12 people.
Ms Abbas is now in Iraq and her family has called on the federal government to include them in the 12,000 refugees Australia has pledged to take in.
- AAP