"The detective advised they would pay $1,200 for Peters to travel to Conroe with the child for an alleged sexual encounter," Peters' arrest report said, according to the Chronicle.
Task force members followed her Feb. 22 to the Greyhound bus station in Houston, where they watched her get onto a bus with her daughter, the newspaper reported. They tailed the bus to Conroe, where Peters and her daughter got off the bus.
Peters was arrested, and her daughter was placed in the custody of Child Protective Services.
"The events of this case are hard to believe -- that a mom would willingly expose her own daughter to this type of danger," Tyler Dunman, chief of the district attorney's Special Crimes Bureau, said in a statement.
Without the proactive work of the task force investigators, the child "would have become a victim (of) the worst type of abuse," Dunman said.
He urged members of the community to be vigilant and report to police any activity they see or hear about that could put a child in danger of sexual abuse or exploitation.