She was acting like a fool. I don't know 'what possessed her'. [=I don't know why she acted that way]
He pounded on the door 'like a man possessed', yelling for someone to let him in.
A terrible rage 'possessed' her at that moment. [=she became filled with rage]
(..) to infest your lives. What's an inhuman spirit? It's something that's never walked the earth in human form. It's something demonic. So the doll was never possessed? No, no, it was used as a conduit. It was moved around to give the impression of possession. Demonic spirits don't possess things, (..)2013 The Conjuring
(..) That's exactly what we thought. But never once did we find any sign or evidence of intrusion. And this all led you to believe that the doll was possessed? Yes. Camilla got in touch with a medium. We learned from her that a -year-old girl... ...named Annabelle Higgins had died in this apartment. (..)2013 The Conjuring