There was an old lady who swallowed a fly guy

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Across
  1. 2. an animal that people like to walk
  2. 4. an animal people enjoy riding
  3. 5. an animal that can fly and has feathers
  4. 6. a winged insect
  5. 8. to get something flying through the air
  6. 11. to take into the stomach through the mouth and throat
  7. 12. an animal that likes to climb mountains
  8. 13. a tame animal kept for pleasure
Down
  1. 1. an opening into or through a thing
  2. 3. the mother of one's father or mother
  3. 7. to talk very loudly
  4. 8. an animal that eat grass and makes milk
  5. 9. to press tightly especially in the arms
  6. 10. an small animal that catches mice
  7. 11. an animal with eight legs