Slush-ice contest: The UK and the US

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Across
  1. 1. Prestigious university in Massachusetts
  2. 2. The capital city of the US
  3. 4. Famous castle and residence of the Royal family
  4. 7. Famous English dramatist and author
  5. 9. Famous American president
Down
  1. 1. Well-known area in LA, known for its movie industry
  2. 3. Great river in the US
  3. 5. City known for its prestigious university
  4. 6. The river that runs through London
  5. 8. Capital city of the UK