Phoenicorn
When a Unicorn and a Phoenix really love each other, they create a Phoenicorn together. Unicorns and Phoenixes (really cool magical people) can adopt babies without legally adopting them, creating Phoenicorns. The mothers of Phoenicorns are generally Unicorns, and the fathers are generally Phoenixes.
Because my mother was Unicorn and my step-father was a Phoenix, I am a Phoenicorn.