My problem was that I was mentally pronouncing “Whatley” with a short a.
And there’s hardly anything in that article that could rule out any given home being “stately”. They’re from the 16th century, unless they’re newer. They’re in the neo-classical style, unless they’re some other style. The family didn’t actually live there most of the time, unless they did. I guess that a house could fail to be stately by having insufficient grandeur, but Wayne Manor definitely qualifies for that one.