It doesn't matter whether the daughter is booked into the same PNR as OP. He will still need to appear with her at check-in to fulfill the "responsible adult" requirements. Thus, going to the time and expense of rebooking the TATL tickets is not going to fix the underlying issue.
To be safe, OP should either allow an oveernight or pay the UM fee of $150, This will permit whoever is bringing her to the airport to check her in. You, of course, will have missed the flight, so you will need a backup plan for the other end.
To be frank, this is a poor solution and I would not use it unless there are mission critical reasons. Otherwise, allowing an overnight will be much more sensible.