"This case is important, both nationally and internationally," the prosecutor, Mark Daly, told the judge.
The prosecutor, Mark Williams, told the judge he wants to take up the issue on Tuesday.
Prosecutor Mark Dennis QC told the court that a private investigator had "blagged" Ms Brady's mobile phone bills from Vodafone.
The prosecutor, Mark E. Hasse, worked in the Kaufman County district attorney's office in Kaufman, a town of 6,800 people about 35 miles from Dallas.
Prosecutor Mark Seymour said: "IS, Isis, Isil is a proscribed organisation and inviting support for a proscribed organisation is prohibited by law.
Prosecutor Mark Ellison QC outlined to a jury how modern forensic techniques were used to detect the traces more than a decade after the 18-year-old's murder.
The shootings came after another prosecutor, Mark E. Hasse, 57, was shot and killed on Jan . 31in an employee parking lot in a still-unsolved case that one law enforcement official described as "cold".
The prosecutor, Mark Bryant-Heron, said Ms. Casburn had told one of the tabloid's reporters that Mr. Yates, then in charge of the Scotland Yard counterterrorism effort, was "looking at six people" as a result of the article.
Prosecutor Mark Trafford QC said: "His revenge, and his road to seek large sums of money, was to seek to sell pictures to the media".
