Things will be ok for your daughter now.. if she is induced tonight, there is nothing really to worry about anymore in this pregnancy, they will be fine!
OC can only be dangerous to the unborn baby if (it goes undiagnosed and) the woman carries to term (37 weeks plus). Often, OC pregnancies end in pre-term labour anyway, which happened to me in my last pregnancy (was monitored for presumed OC, told to wait for results. A couple of days later I went into (early) labour by myself. Hospital staff then told me in the delivery room that I had OC...
Delivering early can bring some problems for the newborn (like jaundice etc), so there is a potential risk from that.
OC has a pretty high reoccurrence rate, so I assume your daughter would be monitored in subsequent pregnancies, which is a slight concern. But as far as I understand, OC is not that dangerous if you know about it and take some precautions.
I wonder how many responses you'll get... as I always think this is a quite rare condition..
Fingers crossed for your family, and get some rest for tomorrow :-)