Panda, I think what you experienced could be called a residual haunting. This is a re-play of events that have taken place in the past. It seems to be a fairly common paranormal phenomenon. She probably fed and took care of her cats every evening in her daily routine, and this has made an imprint on the fabric of time.
It sounds as if the lady loved her pets, and in their time frame, they are reliving some simple, pleasant moments. =)