Missing since 2005 ... 20-month-old Rahma El-Dennaoui.

Missing since 2005 ... Rahma El-Dennaoui.

Rahma El-Dennaoui's aunt has denied telling a friend that the missing toddler's father threw the child against a couch.

Wahide Dennaoui told Glebe Coroner's Court that the allegation of violence against her brother, Hosayn El-Dennaoui, just before Rahma disappeared in 2005 was untrue.

A witness who claimed Ms Dennaoui told them she was at the El-Dennaoui house the night Rahma went missing was "a liar", Ms Dennaoui said.

She also denied phoning her husband, Said Dennaoui, from the El-Dennaoui house that evening. She said calls between the two that were shown in phone company records were made when they were both at home, probably when she was upstairs and her husband was downstairs.

She disputed claims by two witnesses who claim they visited her house the day after Rahma was reported missing and were told Rahma had been ill with a fever.

And she denied trying to discourage the witnesses, who cannot be named for legal reasons, from speaking to the police last month.

"I said [to the witness], 'If you know anything about my brother, why don't you go straight away to the police about it, why wait all these years?'"

Ms Dennaoui was drilled over the state of Rahma's health in the weeks leading up to and the day before her disappearance.

The inquest has previously heard that Rahma was often sick, was regularly taken to the doctor, and cried a lot.

But Ms Dennaoui said Rahma was a happy child who had mouth ulcers from teething but nothing more serious.

Rahma was about 20 months old when she disappeared in November 10, 2005, from the family home in the Sydney suburb of Lurnea.

The inquest continues.