Real or not?

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Across
  1. 2. part lion, part eagle.
  2. 5. has wings and a horn.
  3. 7. has wings and breathes fire.
  4. 8. has wings and hooves.
  5. 9. helps Santa clause.
Down
  1. 1. lives with the snow.
  2. 3. lives in the ocean with a horn.
  3. 4. a mythical creature.
  4. 6. lives on a barn.