The woman in the 'the woman in the graveyard story' could be many things. She might be a victim of a long - ago crime, and her spirit remains in the graveyard as a result. Or she could be a former caretaker of the graveyard who passed away and still watches over it. It's also possible that she is a figment of someone's imagination or a symbol of something deeper, like the fear of death or the unknown that is associated with graveyards.
Since we don't know the details of the story, it could be any woman. It might be a fictional character created to illustrate a point about fears and phobias.
In the 'Woman in Black' story, the woman in black is a haunting presence. She's a figure from the past, perhaps a victim of some great wrong. She now exists in a state between life and death, seeking some form of retribution or simply spreading her sorrow. Her identity is not fully known in a normal sense, but she is known for her black attire and the terror she instills. Whenever she appears, she casts a shadow of dread over the place, and her actions seem to be driven by a dark and unspoken purpose that is related to the history of the area she haunts.
She was a Samaritan woman. In that society, Samaritans were looked down upon by the Jews. She was in a rather difficult situation in life. Her multiple marriages and current living situation made her a bit of a social pariah. But she was the one who had this life - changing encounter with Jesus at the well.