When a small child is vomiting, the phrase you're looking for is "How can I help?" and not "well they shouldn't have sent her down if she was going to do that.
"What is she doing?" really? You've not seen a child vomit before? Another time, grab a handful of paper towels for the parent catching it in her fingers before running out of the room to find someone who can help.
Dear Little Princess,
Dear doctors back on the ward,
"Really bad bugs in her blood" doesn't cut it.
Dear everyone who has been involved in sorting out safe places for miss Mog, cuddling cats, taking in post, bringing me sneaky flasks of coffee and replacement knitting needles and playing games with the princess,