My great-aunt told me this about her cousin (another great-aunt of mine, I suppose). It must have happened around 1950.
Her husband was in the navy, so mostly away. She had a flat in a big old Victorian house (sorry that's a cliche, but it's what my aunt said). One day she got home, with her toddler, who was in a pram. She opened the front door, then turned round to pull the pram up the front steps. The child looked past her and said "Who's that lady at the top of the stairs?"
There was no-one there. But she later learnt a woman had committed suicide in that house.