Of course they do. But, um, hi? I'm not tolerating anything PO right now - HOW exactly am I supposed to accomplish this? Oh, they said. Um, we'll check with the doctor.
Well, I checked with the doctor (the PharmD that I'm married to) and he said ferrous sulfate is the hardest of all to tolerate, even without hyperemesis. He recommended trying ferrous gluconate first and seeing if I can manage that, since I can often tolerate a single pill right after getting IV Phenergan. We'll just have to see how it goes, I guess.
Or, you know, just continue to be tired and stuff. Which I would expect would be a given at this point.