That's not homesickenss. 1700s medicine was doing more harm than good and when she was sent home and they were no longer filling her with what was likely poisonous she recovered.

Frankly, today's hospitals are so poor in terms of infection control (because of simple things like doctors not washing their hands, or staying home when they themselves are sick) and providing patients with good nutrition - the food is basically prison quality - that you are indeed better off going home as soon as it is safe to do so.