I would divorce or kill the wh... wife, and start a grand quest for the most despicable eunuchs and incapable men and/or eunuchs of the world to marry the bastards to.
If they are boys, you can always send them for a church carreer, or marry them off matrilinearly to Adelheid or any other chaste woman.
If they are boys, you can always send them for a church carreer, or marry them off matrilinearly to Adelheid or any other chaste woman.