Just as a FYI : in France, even if married, one always keeps her maiden name, with the opportunity to use her spouse name if wanted. One should decide which of the names will appear on the passport :
1 - maiden name : "AAAAA"
2 - maiden name, spouse name : "AAAAA, épouse BBBBB
3 - spouse name : "BBBBB"

Of course the ticket should be issued with the name that is on the document.
In case of option 2, AF recommends to use the spouse name for the ticket.