Quick Definition: A residual haunting is like a recording being played back due to certain circumstances.

Microsoft Designer AI generated image depicting a ghostly lady looking out into thunderstorm.
A residual haunting is something that plays repetitively, usually based upon certain variables being the same as when the impression was made. Examples would include a person looking out a window only on stormy nights, or that if an item is in the same place something happens but not if it is moved.
Residuals are not aware of their surroundings and do not interact with stimuli other than their trigger(s).