At the end of the scene where Monk is speaking with the maid in his bedroom, she is standing in the doorway and you can see her reflection in the mirror to her right. As Monk moves to his right and so he isn't blocking the mirror, you can clearly see in the mirror on the floor a taped "X" spike indicating where the maid should stand for the scene.
The whole "who died first" premise for this episode is flawed. California probate (and most states) has beneficiary survivorship. The beneficiary(ies) must outlive the testator (the one who dies) by 30 days...not minutes.