Normally when one of my children owls me that they're in hospital and I'm not to come, that's the first place I would be. Likely before they actually got there themselves.
But I know that you would certainly let me know if you needed me, and would no doubt owl if you were truly sicker. I'll drop by tomorrow with some things to keep you comfortable. Is there anything special you'd like?
And I promise not to hover, because that's obviously your point.