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Police are still waiting for toxicology results relating to the death of Keira Madden on 3 July.
However, early indications show that the four-year-old did not have any drugs in her body - prescription or otherwise - at the time of her death.
Further test results are still not expected for another two weeks.
Inquest dates for both Keira and her mother Cathy Madden are yet to be set.
Appeals for information by police have resulted in a number of leads - including possible sightings of Cathy Madden's car on the day of her death - but police would still like to speak to anyone who may have seen Cathy or Keira in the days leading up to their deaths.
Anyone with information is asked to contact Sussex Police on 0845 60 70 999 quoting Operation Launton.