So she shows her home country passport to leave her country.
She is asked, where are you going, she replies to the USA.
You can't go there, I don't see a US visa in your passport book!
So she need proof she can enter the USA, thinks for a moment, than shows her US passport. Now they know she is also a citizen of the USA.
She is questioned why she left her home country, well to marry me of course. Also questioned about her life her.
But after this desseration, they finally let her leave, but stamp or exit in her US passport book instead of her home country passport book. Now her home passport book shows she entered, but never left! Can only imagine the next time she enters her home county, how can you enter when you never left?
She was detained for ten minutes, wondering if they would ever let her leave her home country. But her US passport shows her place of birth in that country. Without that, would have no problems to enter and leave.
You think by maintaining dual citizenship, and it is that regardless of how the DOS defines this, your problems would be over. Not only a huge extra expense to maintain that foreign passport, but in a sense, kind of worthless if you still need your US passport to leave. Just more complications we are forced to live with.