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The woman was detained by police and turned over to the FBI, police said.
The flight was United 1982 from New Orleans.
The FBI has responded to the incident and will release more information later, a spokesperson said.
In an unrelated incident, police arrested an IAH employee for bringing a gun into the secure area. Police arrested Dvarius Conerly, 22, on a charge of possession of a prohibited weapon.
The incident happened Saturday, according to court documents.