Do I have a spirit or ghost in my home?

My house is very old and there is believed an old women died in my fathers bedroom. We don't hear many noises although things do go missing. Especially for me, when ever i'm cleaning my room example; I leave things on my fireplace and I turn around and there gone! It's very common for me. Also I have a cat and she often meows at nothing and looks at things that don't appear to be there?