This interaction made my heart happy and sad all at once. In answering that I didn't have children I felt I was denying my beautiful girls. However, it just didn't seem appropriate to answer that I have angel babies. I didn't want to make the parents uncomfortable and have to explain things and then make it awkward to continue the conference.
I just don't have a good answer to that question that makes me comfortable. Any answer I give invites pain of some sort and I'd rather not make someone else uncomfortable in the process.