I answered their questions 'to the best of my knowledge'. [=I gave the best answers I could based on what I knew, but I might have answered differently if I had known something else]
No one arrived late 'to my knowledge'. [=I am not aware that anyone arrived late, but it is possible that someone arrived late and I don't know about it]
They went on vacation, 'safe in the knowledge' that the farm would be well cared for while they were away.
(..) Good morning, Mrs. Meade. Good morning, Captain Butler. Good morning, Scarlett. Mrs. Merriwether, I've always had a great regard for your knowledge. I wonder if you could give me some advice. Why, certainly, Captain Butler. My Bonnie sucks her thumb. I can't make her stop it. (..)1939 Gone with the Wind