I've written about this myself in the past. When I divorced I went back to my maiden name, but when I remarried I changed it again. I had an array of reasons for it, but the prevailing one was emotional. I had a sense that I had been holding something back; it wasn't about the name for me but about my confidence in making the (I felt risky) choice to marry again. My husband had no opinion about it, thought it was fine either way. 
Interestingly, because I have a semi-famous relative whose last name is the same as my maiden name, I got a lot of questions about our relationship because we are in the same field. Once I changed my name again, that stopped, and I've been free for the first time in my life to carve out a unique identity. Taking this new name turned out to be an act of unexpected self-creation.
Lastly, I still get called Mrs. FirstHusband by doctor's offices, school officials and friends of my children. I chide no one, as long as they speak politely to me. If I'm making the introduction myself, I'm "Songbird NewHusband, Princess FirstHusband's mother." I find there are lots of kids with different last names from one parent or the other here, so it's less and less perturbing to people.