No sign of a stone in the Scottish Genealogy Society Greenlaw Ladykirk list (in their Berwickshire pre-1855 volumes). But the lists are mainly for pre-1855 stones, including pre-1855 stones with later inscriptions.
So if William had a later stone it won't be in the book.
And if he had no stone - including perhaps his first wife being buried there too - it won't be recorded. A lot of less well to do families didn't have gravestones. And that would include many farm workers.