This might get confusing.....
My mum kept her name from her marriage to my Dad for over 10 years. She married him at 19 and went straight from living with her parents to moving in with my Dad, she didn't have a single thing in her own name on marriage so her bank accounts etc were all set up in her married name, when they split it was very important to her that she kept the same name as my Brother and I, because back then her having the same name made people kind of assume she was with the Dad and didn't judge her as an unmarried mother. She went on to have another child with a future partner at which point she changed her name to his by deed pole, the stigma around unmarried wasn't too bad by then ( there's a big age gap between me and my sis) but she was bothered enough to change it to match. She felt as my bro and I were adults we'd understand. Was not nice listening the dad's wives slagging mum off and the name played a big part.
On the other side, my Dad's second wife had her dds name changed to my Dad's, they divorced when I was about 8, and I never saw them again until I started comprehensive school where she worked as a dinner lady and her dd was in my class, my surname is unique (I've never met or know of anyone other than family with it) and I have to admit, at 11 it really bothered and upset me that some people assumed that they were my family. She was an abusive (emotional and physical) stepmum though so I dunno if that played a part in me being upset at people thinking she was my Mum. Her dd would tell everyone I was her sister and I hated it.
I kept my name when I married DH, it's the only good thing I got from my Dad, it's unique and quirky and I love it, I know this sounds pathetic but it's the only interesting thing about me, it gets commented on whenever someone new hears it. My Dad was a twat and in some weird way, my name is a reminder to me that I've been through bad things and I'm OK. I didn't marry until after he died and my third stepmum was livid I didn't change my name to dhs, really furious. She wanted to be the only mrs dadsname.. Oddly she was only ever bothered by my Mum and I having the name, the second wife never got complained about so it seems like it was all jealousy that my Dad had children with someone else, and the name represents that.
I know a name shouldn't be important, but mine is very important to me, which is why I didn't change it on marriage. It's part of my history good and bad. I'm keeping it. I wish I'd double barrelled it to include my Mums maiden name though. Third stepmum almost fainted when I hinted I was thinking of it, apparently it would sound like my Mum and Dad were together!
Ill admit my family are fucked up though!