During an interview, Denen stated she saw Reed strike the 4-year-old on the bottom with a plastic bat.
Denen allegedly admitted that she didn't seek medical care for her daughter and that Reed regularly referred to the child as "idiot" while in her presence.
Reed allegedly admitted to striking the girl on the bottom with a thick wooden paddle, but not a plastic bat. He also allegedly admitted that he and Denen had used zip ties to secure the child to her bed after she was observed climbing the cabinets in the kitchen.
Reed stated he did refer to the child as "idiot," but claimed it was only as a joke.
The pair are each being held on $US500,000 bond and are set to appear in court on August 23.