I've been looking at business class seats from JFK to FCO for a potential trip in May 2019. Google Flights is suggesting combinations like Virgin Atlantic and BA (JFK-LHR-FCO), however when it comes time to book, it gives me Virgin's phone number. Is this something I can actually do via the phone (given that both airlines are competing brands) or is it Google just being weird? I looked up the flights separately but could not find a price anywhere near as cheap as the combo.