A police helicopter circled the Towns yesterday after reports of a woman "acting erratically".
The force was called at around 1.45pm after concerns about a woman in Richmond Road, Gillingham.
Officers attended, along with the police helicopter and a search of the area was carried out.
Residents described seeing multiple police cars along the Gillingham road in the afternoon.
A police spokesman said: "No one matching the description of the woman was located and enquiries to establish the circumstances surrounding the incident are ongoing."