In D.H. Lawrence's "The Rocking-Horse Winner," there are several elements of the supernatural.
As the boy Paul grows up in a house where money is the major concern of his mother, the house seems to whisper, "There must be more money." This haunts the child.
His mother telling him that life is financially hard because his father has no "luck" indicates that things happen by an invisible, supernatural hand that makes things good for people or not: with or without luck.
The fact that Paul knows which horses to choose in order to win at the races is also fantastical and supernatural in nature.
Even at the end when he rides on his horse in a frenzied state, exhausted and not realizing what he has done, so much so that it kills him, he is driven by what seems to be an unseen force.
All of these things seem to spring from a supernatural place.