Once upon a time when I was younger my family had moved into a duplex, it was the first night and we all slept on the floor of the living room. My sister had a friend sleep over, so there were jokes and we were staying up late yakking.
Well, her friend started saying “ouch” a lot and said something scratched her. So we were all awake now and then we noticed, all of us, a white cat sitting at the edge of the hallway.
It just seemed to sit there, looking just like a cat. Of course there were no cats in the house so we all stared at it, whispering to each other.
After maybe a minute the thing turned and went down the hall and we all jumped up and turned all the lights on.
No cat. No window was open, there was no way a cat could have gotten in or out of there. My dad said it was probably a warning and he expected ‘news’ the next day.
Strange.
The next morning he learned that a sister (I think) had died late the night before.
We had a house with a "history" as a kid. Things went on there similar to your story. Neighbors would tell us every time we left the curtains to a front bedroom would pull open as though someone was waiting for someone to return, which when we were about a few blocks away on a return the curtains would move back to closed.
Never anything scary though.
Wow.