Home hospice?
Perhaps. Home treatment for e-coli seems reasonable. But once septicemia developed, one would think hospitalization was warranted.
Found this on WedMD:
‘If you do have sepsis, your doctor will likely place you in the hospital’s intensive care unit (ICU). There, he’ll try to stop the infection, keep vital organs functioning, and regulate your blood pressure (IV fluids and extra oxygen can help with this).’
https://www.webmd.com/a-to-z-guides/sepsis-septicemia-blood-infection