This is my imagination on steroids.
No sooner than I had clicked the publish button yesterday did my creepy visitor arrived back. I called the police again. This time the officer came inside to talk to me. Then he went to talk the stalker. Then the stalker came over and rang my doorbell.
I answered the door and he flashed his credentials. I told him I could save him the trouble of sitting out in the cold and if he was investigating me or anyone in my household I would happily answer any questions.
Turns out "Tom's" real name is Tim. He is indeed a PI, looking for a missing girl named Roz, with a boyfriend who has friends in this area. I told him how freaked out I was by his presence and that he cold clearly see my entire house. He apologized and agreed to park down the street, where I can still see him if I crane my neck just so, but he can't see me dancing nakie in front of my picture window.