

Wallace gets Parry involved in a plot to kill Julia (no more or less believable than Parry and the invisible man.)
Parry makes the Qualtrough phonecall. Wallace kills Julia in the Parlour using his mackintosh to shield himself from blood (as Wallace himself suggested.) He washes his hands, possibly using a chemical from his lab. He puts the weapon into a bag or wraps it in paper. He goes into the kitchen and takes the money from the cashbox and puts it in his pocket and through force of habit combined with the pressure of the situation he puts it back onto the shelf. He drops a few coins on the floor to make it look like the robber did so in the rush. He then pulls the door from the cupboard (he may even have previously loosened it.) Then he goes upstairs and quickly tries to make the room look like it’s been searched by a thief. Wallace feels a bit rushed because the milk boy was late arriving. He takes the notes from his pocket and puts them into the vase. When he’d taken it from the cash box he didn’t notice that he still had a small bit of blood on his hand which he transferred to the notes. By the time he put them into the vase though the blood had dried (explaining why the blood didn’t transfer from one note to the one it touched.) He goes back downstairs notices the bit of blood on his hand and washes it off.
He turns off the lights so that any unwanted visitor (his sister-in-law for eg) won’t raise the alarm when they get no response. He leaves by the back door and meets Parry in Richmond Park. Parry drives Wallace to his tram stop then drives away to dispose of the weapon. Wallace ‘searches’ for Menlove Gardens East before returning home. Whilst he’s been ‘searching’ Parry thinks of something; maybe a part of the plan that concerns him. Parry waits on Richmond Park for Wallace to return. As they are talking they are seen by Lillian Hall.
Wallace goes to the house and goes from back door to front ‘trying to get in. What he’s actually trying to do is a) hoping that someone sees him and b) trying to give the impression that the killer was still inside; escaping via the front door when Wallace enters at the back. He goes inside. He still wants to delay the finding of he body as long as possible thinking that it my muddy the waters as far as time of death. He goes through the back kitchen, checks the kitchen and, despite the fact that the parlour door is right next to the kitchen door he walks past it and goes upstairs. He even checks his lab even though it could be safely assumed that that would be the very last room in the house that Julia went into. (Perhaps Wallace had left the bottle of chemicals that he used to clean up in the kitchen and needed to return it to the lab?) He then ‘finds’ Julia.
I’ve created a simple scenario. I’ve used an accomplice (one that I can name)
This scenario explains:
Why Beattie didn’t suspect the voice on the phone.
Why the killer knew Wallace was going to chess.
Why the killer knew that Wallace would take the bait.
Why no one saw or heard anyone at the door.
Why the lights were turned off.
Why Julia allowed her killer into the parlour.
Why the blood smear was transferred the other notes.
The presence of the mackintosh.
Why Wallace wasn’t covered in blood.
How the weapon was disposed of.
How Wallace got to his first tram by 7.06 or 7.10.
Lillian Hall sighting.
Why Wallace messed around trying to get into the house.
Why he avoided the parlour to go upstairs.
Compare this ‘scenario’ to

Because I’m not a

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