As I understand it Mike/Smiffy, this is what you now want us to believe...
The police made a massive balls-up, not realising Sheila was still alive, let her run upstairs and shoot herself, then the doctor ballsed up by certifying her dead when she wasn't, then the police ballsed up again trying to stage her suicide (which is odd in itself - why stage the suicide of someone you found to have committed suicide?) and shot her again themselves, killing her.
At this stage they shat themselves royally, so set about the cover-up.
Miraculously, it worked and the murder-suicide theory was accepted by those that mattered (after all it was a murder-suicide almost).
The police breath a masive sign of relief, realising they've got away with the monumental cock-ups, but technically no real harm has been done, the murderess did shoot herself once, so they can all get on with their lives and mostly sleep ok at night.
Then the relatives come along and say "can you help us pin it on Jemery so we can have his cash?", and rather than think to themselves "you're having laugh, we've only just managed to get away with killing her ourselves", they get back into a huddle and agree to risk the careers and liberties they've just saved by the skin of their teeth to help frame a man for the benefit of people that most of them don't even know. And all this depsite one of their number saying he wouldn't play ball so maybe they had to knock him off too?
Quite frankly it beggars belief that anybody even considers any of this a remote possibility.
Do any of you really believe this could happen in the real world?