You don't truly lose your name until you have kids.

I publish under my legal name, which for the purposes of this comment I will call Iso-Nomer, while DH's last name is Nomer. In fact, I go by Iso-Nomer for pretty much all purposes, except when it comes to kids stuff. Then it's just easier to be called Mrs. Nomer rather correcting them to Dr. Iso-Nomer, because it just sounds pretentious. So really, it didn't matter what I'd chosen to do with my name to begin with.

Also, I have never run into issues flying by myself with the kids. But maybe new rules came into place since the last time I did this.