Natural vs. Unconditional?

I would like to know is their a such thing as Natural vs. Unconditional love? Am I wrong for saying that I have two types of love for my child, and my step-daughter. I have natural love for my child, and I'm working on having unconditional love. I entered in my step-daughter life when she was 2. She's now 5, and I have a new born which is from me.