Two people were detained after photos allegedly show a post-mortem examination footballer Emiliano Salo was posted on Twitter.
The woman, 48, and a man from Wiltshire 62 were arrested on suspicion of unauthorized access to computer material.
Prem & # 39; er Sala League player, 28, was killed in a plane crash in January.
Police said there was no reason to believe hacking at the morgue.
They also called on people to stop to share body image, which "causes further distress for the family & # 39; and Emiliano and friends."
Woman with Korsch, Wiltshire, was also arrested on suspicion of malicious communication, and was released on conditional bail.
The man from Calne, Wiltshire, was released under investigation.
Wiltshire Police said: "There's no reason to believe hacking at the morgue, and there is no reason to believe that any staff from the morgue, whether any other members of the board really involved in any violations."
Postmortem examination on Salah was held on February 7 in Holly Tree Lodge morgue in Dorset.
Dorset Police launched an investigation on February 13, when it became known, the image of strength on Twitter, which was quickly removed, but was widespread in various social media sites.
Det Insp Gemma Vinton, a senior investigator for Wiltshire Police said: "During this investigation we continued relationship with the Crown Prosecution Service Wessex.
"Evidence file was sent to the ANC last week to consider the desirability of criminal prosecution must be returned to the two persons under investigation by Wiltshire police.
"My thoughts are with his family & # 39; it Emiliano ~ d for the pain they have experienced over the past three months, and that should not undergo additional shy disappointing knowing such images have been circulating on the Internet.
"I would also like to encourage people to stop sharing the image – it causes further distress for the family & # 39; and Emiliano and friends."
The Argentine striker was riding in an airplane Piper Malibu for his first training session at the Cardiff City after the £ 15m club record move from Nantes FC, when he crashed on 21 January.
The body of the pilot, David Ibbotson, from Crowle, North Lincolnshire, was found.