The BBC understands Kimberley Miners was detained on Friday.
A 27-year-old from Bradford is being questioned for the possession of a document or record likely to be of use to a person preparing an act of terrorism, the North East Counter Terrorism Unit said.
She has been released on bail pending further inquiries.
A residential property in the city was searched as part of the inquiry, a spokesman for the unit added.
A former glamour model has been arrested on suspicion of possessing terrorist material.