My missus didn't and it's fine by me. It's an outdated tradition. I'm much more bothered about my unborn baby having my surname.
Surely that is the same thing. The baby grows up and looks at it's birth certificate and says why is Mum called Jones and you're called Smith.
It looks much more like a family when the Mum and Dad are Smith and the baby is also Smith (names just taken for example)