At the Sunday hearing, Lama's mother tried to bring her own case against Al-Ghamdi.
Al-Ghamdi was fired from his teaching post in Saudi Arabia in 1995 and briefly jailed.
Syeda, who is divorced from Al-Ghamdi, says Lama's torture occurred while she was staying with her father.
The girl, Lama, was the daughter of Fayhan al-Ghamdi, an Islamic preacher who made regular appearances on TV.
BBC: Anger over death of Saudi girl after father's 'beating'
Mr al Ghamdi's family want a fact-finding committee to be set up under the direct supervision of the Emir of Baha.
Another issue that Mr Ghamdi has weighed in on, for example, is Saudi Arabia's prohibition, unique among Muslim-majority countries, against women drivers.
ECONOMIST: With the king��s permission, the debate is hotting up
Some have claimed that Mr al Ghamdi drove through a police checkpoint.
Yet with younger clerics such as Mr Ghamdi doubting the scriptural grounds for making women rely on male drivers, other arguments are looking flimsier.
ECONOMIST: With the king��s permission, the debate is hotting up
After being followed for several kilometres by the police, Mr al Ghamdi's car fell down a bank at an overpass that was still under construction.
The driver, Abdulrahman al Ghamdi, drove off and was pursued by the police at speed before losing control of the car and dying in the crash.
Activists say Al-Ghamdi is an Islamist evangelist popular in Saudi Arabia for his televised appearances and for speaking on air about the rewards of repenting to God.
Unnamed Saudi officials quoted in The New York Times describe al-Ghamdi as a militant cleric from the same tribe as several of the aircraft hijackers of September 11 -- a tribe from Saudi Arabia's Asir Province, north of the Saudi border with Yemen.
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