Jones, who was nicknamed the "White Widow", is believed to have publicized a list of American military personnel to be targeted by ISIS militants, led a group of female terrorists, and acted as a top recruiter online.
Fifty-year-old Jones was killed in June by a USA drone strike close to the border with Iraq, according to the Sun, which quoted a British intelligence source.
Her young son Jojo was not known to be with her at the time of the strike and was not intentionally targeted, though he is presumed dead, as well. A second son, aged 20, is believed to have remained in the UK.
"The UK and United States military has been working closely together on a number of high-profile targets in recent months and Jones is believed to have been on that list".
She became radicalized after travelling to Syria following an online romance with convicted computer hacker and IS member Junaid Hussain, who died in a 2015 drone strike.
He was accused of planning the "barbaric attacks against the West", in particular the terrorist attacks on holidays. "Quite frankly, it's good riddance", a British official reportedly said in response to the news. It is likely that her son Jojo, 12, was also killed.
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The wife of another immigrant to the so-called Islamic caliphate said she knew Jones and described her as "very cute".
I guess that career didn't pan out for her, because she had converted to Islam, changed her name to Sakinah Hussain and moved to the Syrian Islamic State stronghold, Raqqa. I wouldn't go into central London through June or July.
"When you interrogate someone, you get more information", he said.
The US Air Force Predator strike took place near the Syria-Iraq border, the newspaper said.