BA struggling..?
Up until November 1st, British Airways is running what seems to be a crazy offer on just the LBA and NEW domestics to LHR. Make one adult reservation, point-to-point, and up to three children, up to the age of 11, can fly with you absolutely free.
Can't ever remember an offer from BA so generous or desperate to fill the aircraft, depending upon how you regard the offer.
i think posting the link would breach site rules, but googling British Airways Kids Fly For Free should take you there.