I wouldn't say my identity was tied up in being a parent, but DP and I had DD when we were only 11 months into our relationship, DP didn't even know she was pregnant until she went into labour.
We were in a very casual relationship at the time, both had plans to leave the city we lived in, and both wanted to spend our lives child free.
Needless to say, plans changed. And I wouldn't change the last 18 years for anything. I love my daughter, I love DP, and I love my life.
But it does mean we still live in the same city 18 years later, because I was moved around a lot as a kid, and I didn't want to put DD through the same thing. And it does mean that I've taken the safer job, because it was more secure than the startup I really wanted to work for.
And it does mean that me and DP have never lived together as just us. We didn't move in together until DD was nearly 3 months old. So for the entirety of our serious relationship, we've never had more than the odd weekend away to just be the two of us. To just spontaneously go out without having to consider DDs plans, or to plan a trip away without having to consider "Would DD enjoy this". Or, to lower the tone a bit, have a shag on the sofa without worrying that DD is going to come home early.
We've never gotten to work out whether we work as a couple, rather than as a family, and that's the bit that really excites (and scares) me.