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
Employees at Netflix will be given "unlimited" time off during the first year after their child is born or adopted.
Scientists believe 400,000 cases of womb cancer have been avoided over the last 50 years by women taking the contraceptive pill.
Tony Blair could be made to stand trial for war crimes over the invasion of Iraq, Labour leadership frontrunner Jeremy Corbyn has said.