Gemma Wilkinson, a former charity worker, took legal action in an attempt to force Anjum to reveal the whereabouts of her daughter Atiya.
Anjum, who represented himself at the latest court hearing, indicated that Atiya was in Pakistan or Iran but said he did not know her exact whereabouts.
Mr Justice Moor said he was sure Anjum was lying.
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Harry and Meghan left Windsor Castle during Sunday afternoon after being hosted by the Queen and Duke of Edinburgh over the weekend.
Clare Waight Keller said it was an "enormous honour" to have been given one of fashion's most coveted jobs ahead of the royal wedding.
As temperatures rise over the coming few days, the risk of thunderstorms across some southern parts