What happened to Coldharbour on Richard III’s death. . . .?

Yes, another post about Coldharbour (above) which stood  in Upper Thames Street, London. But this time it concerns an apparent omission in ownership. It is a known fact that after Bosworth, Henry VII turfed the College of Heralds out of Coldharbour and handed the property over to his mother, Margaret Beaufort. Isn’t it? I mean, there’s…