An unwilling bride

The Duchess of Belcraven committed a folly, and bore her husband another man's child. Only a third son, however, so all was patched over. Then the two older boys drowned, leaving disaster. Now, over twenty years later, the duke discovers that he has a daughter, a child of his blood, and he compels the two to marry -- the arrogant ducal heir, devastated to learn for the first time that he is illegitimate; and the independent schoolteacher raised in the principles of the Rights of Women. Is there any common ground at all?