The mother could lose the custody of her children.
They were found in bars of the district of Iztapalapa.
The measure is intended to reduce prostitution in the capital city of Michoacán, especially in the areas of Plaza del Carmen, Plaza Carrillo and El Triangulito.
A group of 17 women were released from sexual exploitation in the midtown area.
Twenty-seven presumed victims of sexual slavery were found in the Cuauhtémoc district.
The detainee was a member of a network with operations in Tlaxcala, Puebla, Mexico City, Houston and New York.