Our first house had similar characteristics. It was built in the 20's and one family lived there for her whole life.
A few months after we moved in, I was walking down to the basement and I found dried blood along the walls - streaking along them as if pointing to the basement. Really weird but I figured we just hadn't noticed it after we moved in becuase we were always carrying stuff up or down the stairs. Then it got weirder...
The basement had an extremely creapy feeling - the hair on your neck would immediatly stand up. There was a room in one corner with a latch/lock on the outside of it. Switches for the lights were on the outside of the room, and it was all painted black. I'm hoping it was a darkroom as all the small window was blacked out and it was built floor to ceiling. It was so weird feeling, we never even stacked stuff against the ousside of that wall. And never stored anything inside of it. There was 'newer' cement in one corner of it, but I was not about to start digging it up.
We would hear creaking all the time, but didn't think anything of it - after all, we heard that old houses just creak. It was like someone was walking around. One morning I heard walking upstairs and figured my wife had come back for something, I called to her but no answer, So I glanced outside and her car was gone... Just then I heard walking and a door closed! Yikes, I went to investigate and cleared all the rooms and part of the walkin in attic. Figrued it was nothing so I went back down stairs. A few minutes later I heard walking again, a door creaking open, then closing. This time I went back armed and was clearing the rooms. I checked my kids room then closed the door behind me. I cleared the rest then entered the small walkin attic space I had ignored before, of course I couldn't see around a few boxes which could easily hide a person, so I'm trying to get an angle around the box when I heard running accross the floor, the door I closed earlier opend up then slammed shut. Just about crapped my pants, but there was no one visible in the upstairs.
One night when my firstborn was sleeping upstairs, we heard a crash in her room - like a huge chandalier fell to the floor. My wife and I looked at each other and raced to her room, to find her sleeping peacefuly with nothing disturbed anywhere upstairs. Craziest thing ever.
There were more stories, but these were most memorable. We sold that house after 2 years.