I've never been married, but have been engaged 3 times. Which will explain the following.
The first time I was nineteen and a little superficial I wanted his name and mine because I thought it was the cool thing to do.
The second I wanted both because he was so obsessed with keeping his name and I was loosing my own identity in a very controling relationship.
The third time I said no worries I want his name and didnt hesitate in saying so when he asked. I suprised myself. I want to be a part of his family completely.