she will get a stamp with hand written details which includes her new name and your name on the "married to" bit, etc. her middle name would now be her old surname as her surname would now be your surname.
when you book your flight, she can now use her married name. for example: hannah (first name) garcia (ols surname) scott (new surname). her ticket would then say: scott, hannahgarciamrs.
as her new name is on the amendment page, make sure you mention this when checking in your luggage. from experience, they seem to flick the passport over and over again thinking the ticket against the passport does not seem to make sense.
on immigration, just place the ticket on the amendment page so that when the officers open it its on the right detail page and they can just double check in later on on the other page to confirm photograph.
hope this helps!
