Charles Hennessee III and Stephanie Avery were arrested Friday night.
Officials say Hennessee is Avery's boyfriend.
Authorities say he scalded the boy in a bathtub while Avery was at work.
Police also say the couple waited until later that night to take the boy to the hospital, where he was treated for severe burns.
Hennessee is charged with child abuse by injury.
His bond is set at $50-thousand.
Avery is charged with enabling child abuse by injury.
She's also being held in the Comanche County Jail on a $50-thousand bond.