Upvote:0
I have dual citizenship under 2 names as well. I book under the US name, as they're usually the most tiresome with that sort of verification. I show the passport corresponding to that name to the airline. When I show up at custom of the other country, I go into the citizen line and pull out my other passport. On return, I do the same with my US passport. Nobody's ever questioned anything (even in the currently internationally paranoid climate) because everyone assumes the other country will do the checking for themselves. And nobody's ever thought to check my passport against the ticket.
But note that I'm white, so your mileage may well vary if you're not. And it's a wise precaution to travel with a copy of the document that establishes that you are indeed the same person, even if you don't expect to have to use it. Note also that many if not most countries assume women will change last name like hyperactive squirrels, multiple times even, and won't bat an eyelash, while a man might have much more difficulty with the same situation.
Upvote:5
If I were you, I would probably book the ticket in the married name since that is the name you plan to use from now on. But whichever name you book the ticket in, you should be fine:
When checking in for the flight to the country whose passport shows the name you booked the ticket in, because you will show that country's passport, and the names match.
When checking in to fly to the other country, if you show the passport for the first country, with the matching name, and then say "I don't need ETA (or ESTA, as the case may be) because I am a dual citizen," whereupon you produce your other passport to prove that, along with a copy of your marriage certificate to show the name change. It's better if the copy is an original certified copy.
When faced with immigration officers (or indeed any kind of officer) from either country, show the passport of that country. In the event that they ask about your name or your authorization to enter the other country (both of which I suspect to be very unlikely), show the other passport and the marriage certificate.