Lets take the matter a step further...
After the police surgeon, Dr Craig, and PI 'Bob' Miller arrived in time to pronounce Sheila as being on the far side of the bed, with what appears to be a solitary bullet wound to her neck, along comes DS 'Stan' Jones, and DC Clarke to the scene, and they both visit the main bedroom and view Sheila's body on the bed, with a bullet wound to her neck. DCI 'Taff' Jones, sends DS 'Stan' Jones, along with DC Clarke, to take a witness statement from Jeremy at his cottage in Goldhanger...
Well, well, well...
No sooner do Jones and Clarke arrive at Jeremys cottage, than one or other of them, or both of them, are telling Ann Eaton and the others that Sheila has shot and killed the others, and that she has taken her own life by way of a single shot to the neck...
Ann Eaton, states that she cannot remember which police officer told her that Sheila's body and the body of June Bamber were on the bed together, one at the side of the other, with the rifle on the bed between both bodies...
Hang on, Ann...
I can help you out there, since there were only two police officers at Jeremys cottage on the morning of the shootings, er, DS 'Stan' Jones, and er, DC Clarke...
Er, Ann, can you remember now?