We are taking British Airways from Geneva into Heathrow which lands at 930 PM and the flight back to IAH is at 250 PM the next day. What happens if during that overnight one of the people (wife and 2 daughters) gets sick and we miss the next day connecting flight?

I see there is a flight that then leaves at 335 PM but would be too close to the original flight and there are no other flights to IAH that day.

Do what we did and book a hotel and leave the next available day.

What did they charge you to change the flight?

United only had one flight leaving that country each Thursday. We had to book through a different airline and piece legs together to get back to the US.

You get put on the next flight.

NyQuil and tough it out.

Being worried about sick people and not even within 24 hours of your flight is a little off. And I've got a kid. Understand if they are mostly sickly or have immune issues.

But if people are sick call the airline and tell them and get moved to the next flight with openings. Thats about all you can do.