In 2013, she left her home with her then 8-year old son Jojo - leaving her older son behind - to joine the Islamic State "caliphate". Maj Adrian Rankine-Galloway, a Pentagon spokesman, told the Guardian, "I do not have any information that would substantiate that report but that could change and we are looking into this".
Britain's The Sun newspaper cites United States intelligence sources as saying Jones was killed in June.
Jones previously played in a punk band.
Hussain, a computer hacker from Birmingham who was another senior Isis member, was killed in a...
Jones, who went by the name Umm Hussain Britaniyah, had been one of the world's most wanted terrorists and was believed to be on a hit list of 20 extremists targeted by the SAS in Syria.
If reports of Jones' death are true, she would be the sixth Briton killed by drones in Syria.
Born in Greenwich, London, she encouraged individuals to carry out attacks in Britain, offering guidance on how to construct home-made bombs.
She also posted comments such as: "You Christians all need beheading with a nice blunt knife and stuck on the railings at Raqqa". Her husband, Junaid Jussain, also an IS recruiter, was reportedly killed in a drone strike in 2015. Jones always traveled with her son as a human shield to avoid assassination.
Terry was adamant that it was absolutely right to kill her, regardless of what happened to her son.
According to the Sun, Jones was last seen fleeing from Raqqa, heading for a town on the border with Iraq.
"Even if he got up to really bad things, he shouldn't have been targeted", he said.