DH and I went out of the country for our honeymoon and my fabulous in laws had given us the trip as our wedding present. They bought the airline ticket in my married name and I was told to bring the marriage certificate with my passport to go through customs. They did look at it and compare the names so I was glad I had them. However, if the ticket and your picture i.d. are the same name, you are fine with just the birth cert. if you don't have a passport.