If you didn't buy the ticket, and there are no additional notes on the booking record about you as a point of contact, then its your fault, not theirs. How do BA know you are the parents ? They're not going to waste time digging up birth records etc.
Data Protection laws are very strict in the UK.
If you want to know what can happen when protocol isn't followed, look up the story of Kate Middleton, the hospital and the australian radio station. Granted Kate isn't a minor, but it demonstrates the importance of strict telephone privacy protocol.
Last edited by mixture; 24th Mar 2013 at 18:24.