Chesed, that was really funny.
I agree with Aries. I would probably respond, “I’m so sorry to hear that. it must be a very difficult time for all of you? I wish him/her a refuah shelaima.What can I do to help you – do your kids need to be babysat or picked up from school? If it’s ok with you, I could make them dinner so you can be at the hospital if you need to be.” I would and I have said that, and a few other assorted things, and people are very appreciative when you give a specific offer of help, rather than a generic, “Let me know if you need anything.” People almost always feel uncomfortable asking for help, so you should always be specific in the offer, and THEN also ask if there is anything you might have overlooked that they need. Sometimes all they want and need is a friend.