all we have is that she had a stomachache and was throwing up, and he wouldn't take her to the ER for...a stomachache and throwing up? Which doesn't strike me as something one would usually go to the ER

I dunno, this seems sufficient to me if it's a particularly exceptional case of discomfort. Going to the ER for stomachache & nausea are how I discovered I had a kidney stone, and I wasn't even throwing up yet.