The woman is reportedly Tareena Shakil, from Sparkbrook, but is originally from Burton-upon-Trent in Staffordshire.
West Midlands Police said counter terrorism officers detained a woman after she got off a flight from Turkey at about 9pm last Wednesday.
The woman, who the force said was travelling with her one-year-old son, was also arrested on suspicion of child neglect and child abduction. She was questioned by officers from West Midlands Counter Terrorism Unit, who said the arrest was pre-planned and intelligence-led, and released on bail.
Her son, Zaheem, is now subject to a police protection order. Measures are being taken, in partnership with children’s services, to ensure his welfare, according to police.
