Is it known if Henry kept any of Anne’s (or his other wive’s) belongings?
Yes, he did. We know from the inventory taken at his death that he had books in his library which once belonged to Anne Boleyn and there are also mentions of items with the initial H and A, the name "Anne" or things that once belonged to "Quene Anne". I haven't looked into the other queens but I suspect that there would have been things belonging to them too.
