My experienced partner would recognize the address when we were dispatched to her house and when we got there we would take our flashlights and search around her property.
We never found a prowler, but when we went inside her house to talk to her there was always a fresh-baked pie (still warm) and a pot of coffee.
I kinda' think she just wanted someone to talk to and maybe do a little "Granny nurturing".
Your story made me think of a passage I read in the book "Cops". It was a book that has interviews with cops where they just told stories, they way you might hear them do if they were at a party having a drink with other cops. A great book, and a very easy read, because each story was only a page or two at the most, sometimes just one paragraph.
In the book, a cop relates a story about a little old lady who said the man next door was parading back and forth in front of the windows of his house with nothing on.
The cops showed up, and she brought them into her kitchen and said "See?" The cops looked at each other and said they didn't see anything. She pulled over a chair, stood on the chair and looked out the row of windows up near the ceiling of the kitchen, looked out and said "Look! He's doing it now!"