A 39-year-old woman from Bexhill who was arrested on suspicion of murder, and a 32-year-old man from Bexhill who was arrested on suspicion of assisting an offender, have both been released with no further action, the force spokesman said.
“Our officers will remain on patrol for reassurance, and in the meantime, I would still urge anyone who can assist us in our investigation to please come forward and contact us.
Detective Chief Inspector Alex Campbell said: “This has been a hugely distressing incident, not least for the family and friends of Rita, but also the wider community.
Rita Lambourne, 58, was “fatally wounded” at an address in Bayencourt South, Bexhill, East Sussex on February 12.
A Sussex Police spokesman said: “Despite the best efforts of paramedics, she was sadly confirmed deceased at the scene.