There is more to the story and it only makes the parents seem more neglectful. The father is a homeopath who consulted with his brother who was also a homeopath. The parents consulted but rejected treatments offered by conventional doctors. When the couple was in India, the mother apparently received conventional medical treatment for her gallbladder disease. Recommended medical treatment for the daughter was not followed, and the baby suffered horribly.
Parents guilty of manslaughter over daughter's eczema death
People will cling to superstitious beliefs even in the face of the death of their own child.
The high percentages of people who believe in homeopathy is not a valid argument. Lots of folks don't have the scientific educational background to understand basic physics or physiology.
Homeopathic remedies harness the power of the patient’s own mind, the placebo effect, so naturally you will see an effect in many cases.
Homeopathic remedies can be easily studied and they have been, exhaustively:
Confessions of a Quackbuster: Study: Homeopathy Drugs Don't Work
NCAHF Position Paper on Homeopathy