A very dear friend passed away, unexpectedly from natural causes, two doors down from our home. The person who bought the house (an out-of-towner) asked me shortly after she moved in if it was true the owner had died, and she wanted to know where in the house he had passed away. She didn't want to put her bed on the same wall. Everyone has their "thing" that's important to them. I was able to assure her he was a wonderful person, and didn't suffer in the house, it was a sudden & peaceful death.
I think asking the neighbors is a great idea. I agree, I wouldn't want to live where someone was murdered. But if it's a natural death, no biggie. Then again, I don't believe in ghosts.