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.
More top news
A man has been arrested over an offensive Hillsborough t shirt.
Early low cloud will gradually retreat to North Sea coasts to leave many with a fine day, particularly in the west.
An elephant calf had to be rescued in Sri Lanka after becoming trapped in a drain.