Lisa Smith and her two-year-old child are on a flight to Ireland from Turkey.
The former Irish Defence Forces member travelled to Syria in 2016 to join the so-called Islamic State group.
She has been deported from Turkey and faces questioning by gardaí as soon as she arrives on Irish soil later today.
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Fianna Fáil has won two of the four Dáil by-elections, while the other seats went to Sinn Féin and the Green Party.
The Green candidate Joe O’Brien was elected as a TD after topping the poll in Dublin Fingal.
Sinn Féin's Mark Ward won in Dublin Mid-West, while Fianna Fáil candidates - Malcolm Byrne and Padraig O'Sullivan - were elected in Wexford and Cork North-Central respectively.
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A man has been injured in a shooting in Dublin
At around 6:45am gardaí were called to a flat on North Strand Road, where members of Dublin Fire Brigade were treating a man in his 20s for an apparent gunshot wound
He was taken to the Mater Hospital where his injuries are not thought to be life threatening.
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Police say they've seen no evidence to suggest anyone else was involved in Friday's terror attack at London Bridge.
They have searched the home of suspect Usman Khan, who was shot dead by police after the attack that left two people dead.
Khan was released from jail last year after serving half of a 16 year sentence for plotting to bomb the London Stock Exchange.
The UK justice ministry says it's reviewing the early release conditions for every convicted terrorist.
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Fianna Fáil and Labour are backing calls for an ethics investigation of Fine Gael TD Dara Murphy over his Dáil attendance.
Deputy Murphy has insisted he has been compliant with rules for attendance at Leinster House at all time.
He's been an election campaign director for the European People's Party in Brussels for the last two years.
However, he has claimed all his Dáil allowances as well as his TD's salary of €94,000 during that time.