They ONLY CAN own anything they know about :)
It is like walking with an armed bomb in your pocket where you could have defused it by clarifying the issue with your employer. Beside you now have the advantage of the first move. Profit from it a wisely.
So before telling anything your employer, better learn how to do it, what you are required to tell your employer, and what you can keep for your self. There are things you can't undo.