Witnessing the growth of his daughters is continued when he sings “But she came home today with a ring on her hand / Just glowing and telling us all they had planned / She says, ‘Dad, the wedding’s still six months away / And I need to practice my dancing, oh please, daddy, please.'”

Singing the song’s title in lines throughout the song, “dance with Cinderella,” Steven is providing a constant. No matter how much his daughter grows, he will always dance with her.

Source: https://www.distractify.com/p/steven-curtis-chapman-cinderella-meaning