Police took Blair Stockdill into custody after responding to her apartment building following a 911 call.
When officers arrived, they found a man with stab wounds, and Stockdill was holding a knife.
Officers also found the body of her daughter she had apparently been dead for several days.
An autopsy is planned for Tuesday.
The man was treated stab injuries at a local hospital.
If you have any information about this crime, you can make an anonymous call to Crime Stoppers at (800) 222-TIPS.