Jones, one of ISIS's top recruiters, was reportedly a high priority on the Pentagon's "kill list".
Briton's most wanted female terrorist Sally Jones, nicked named the White Widow, has reportedly been killed in a drone strike.
Jones, who before her jihadi days was once a singer in a punk band, has been the subject of years of fascination by the British press.
However, she - and possibly her son - were actually killed in June during an air-strike by a US Air Force Predator, The Sun reported.
Jones also encouraged people to carry out attacks in Britain, offering guidance on how to construct home-made bombs.
Britain's The Sun newspaper cites USA intelligence sources as saying Jones was killed in June.
When she got there she was married to Junaid Hussain, a British-Pakistani hacker who was killed in a drone strike in 2015.
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However, it was kept secret on both sides of the Atlantic over fears her 12-year-old son Jojo may have also died in the blast.
Jones left Kent in the United Kingdom, along with her son, to join Isis in 2013.
Jones also published more then 1,300 names of U.S. personnel - many of whom were serving at United Kingdom air bases - that her husband had hacked.
The 50-year-old used her Twitter account to recruit women and shared pictures of herself with weapons.
Born in the Greenwich area of London, she posted extremist comments online such as: "You Christians all need beheading with a nice blunt knife and stuck on the railings at Raqqa".
"She told me she wished to go back to her country". "Come here I'll do it for you".
Asked about reports Jones' son was killed in the strike, Maj Gen Chapman added: "It is a hard one because under the UN Charters he is under the age of what we would classify as a soldier".