@John ********
you would have to get her a non-O visa before you come as well OR just bring her in and let her overstay (children under 15 can't be fined for overstay and children under 18 can't be banned).
If when she's of school age, you're still here THEN you could bounce her out and back to get her off the overstay and on to an ED visa. I personally wouldn't do anything with the child as there are no negative implications or penalties for children to overstay (I know many foreigners with kids here on multi-YEAR overstays who have no issues)