Yeah i highly doubht BA would link your daughters booking to yours and if they did there would be no reason to stop you anyway , however i can not stress enough that you ensure your daughter is fully aware of what documentation she needs to enter South Africa with her daughter - so many family/friends have been caught out thinking they had everything they needed. I would proactively ensure you are at the airport tomorrow nice and early to counteract any delay that may arise in trying to sort out any issue they may pop up, hopefully everything will be okay and please report back on how things go at the airport. On a lighter note , a utter scorcher this week in Cape Town leaving me with quite the tan !