Eventually I wandered around to the back side of the place, the side facing the Hudson River. Here's the view from the house. I think that may be the Tappan Zee Bridge, but I'm not sure. I crossed into New York somewhere a good deal farther north.
Lots of landscaping, trees and trees...
Down the hill, there were numerous apple trees, and numerous Canadian geese happy to avail themselves of the fruit and bugs. Lovely sight, though at the same time my mind kept flashing on Christmas feast tables set with roast goose with apples shoved in their beaks, etc. Not like I've ever actually seen such things, but that's my sense of humor for you.
Back side of the castle Lyndhurst, from the goose-apple section.