The mother, who is pregnant, was evaluated at a hospital and had no injuries, police said. Daisja's father was not home at the time.
Officers searched the area by foot and helicopter but came up empty-handed.
Police did not explain how the parents' accounts varied, but authorities did not issue an Amber Alert until almost noon on Wednesday.
"It was not the conflicting stories, it was the fact that she was not able to give us a definitive suspect description, and that's one of the criteria" for an Amber alert, Janse said. "So throughout the interview, we kept trying to get a better description before we put out the Amber Alert."