When I was seven years old my father changed our family surname. He had been the second generation immigrant family and his name was German, and my mother could not continue to live with this after WW2. Both he, and his older brother changed this at the same time to the same new surname.
So, when I married I then took my third surname. I still have to keep a copy of that deed poll back from the 1940's, to produce for anything official, along with my birth certificate.
I would have loved to have kept my single name when I married, I had built up a good reputation in that name in my field. Back in the early 1960's that was almost unheard of and would have caused so many problems. By the time we divorced nearly fifty years later, there was no way I was going to change my name again, so I still keep his name and the designation of Mrs - although we have lived apart for nearly twenty years now.
One of my daughters did keep her single name for work purposes, as again it was a good one in her job area - indeed, she got her first full-time job almost entirely on the fact of that name and that she was my daughter.
My eldest g.daughter has her fathers surname, although he and her mum never married, and her Mum keeps her single name. This has worked out very well - and both her first names come from my daughters side of the family - with her middle name being that of my Mum. No difficulty has ever happened with her having a different name to her Mum.
I do not like the modern practice of using both surnames with a hyphen. Bad enough just two names (eg: Smith-Jones), but do wonder what is going to happen if this continues in the future and how long will those names be.
Perhaps we should revert to a much older method and giving the boy the surname of Sonof.......fathers first name, and daughter, daughterof.......Mums first name. easier in some other languages where these are just three letter words (Eg: Bar (son) and (Bat) Daughter) /