As to being "VERY close to the Home", it is highly possible IF her thought was simply to hide. On the other hand, if she was wanting to get somewhere, she could have wandered for miles, even in a state of delirium, and ended up quite some distance from the Home. Unlikely, but not impossible.
Yes, she was walking. But if she heard somebody coming for her or calling for her, she may have broken into a sprint at that point, and ducked off the road to put as much distance between herself and the Home as possible without being seen. We just don't know.