Jackie Farah is charged with criminal abuse and endangerment. She has former addresses in Chicago.
The children range in age from 18 months to 14 years old.
They were found Monday night near Bowling Green.
The temperature reached 101 degrees that day and there was no air conditioning or food.
The mother was in Chicago, but was reportedly heading to Michigan because of a family emergency.
The man has not yet been found, but authorities in Kentucky think he might be in Chicago.