Losing 30lbs in the process, and there is your answer... its actually been a while and I've forgotten how many calories a pound is, I'm remembering it being 3500 or something but I can't be arsed to check it.
Either way, "eating" is one thing, your body consuming energy is another, food is one source of energy, so is fat. She's "consumed" from one source or another 30x 3500 calories in this 100 days. Which is over 1000 calories a day of body fat, which is more than some people eat... okay some of that will be water but not much.
people think of food too one dimensionally, body fat is treated as a "food" source. Person A carrys around 30lbs of fat internally, and eats nothing for 100 days, person B carrys around 30lbs of fat in a bag and eats 1166 calories worth a day for 100 days.... no difference to the body, just where the body takes that energy from.
its worth noting with the guy who fasted for a year(if its to be believed) that he took vitamins, because while the body can burn fat quite easily, on a reduced food intake, you reduce your intake of a variety of vitamins and minerals the body uses to actually burn fat for energy and to release body fat. Without the vitamins to give his body a supply of some fairly crucial things for burning the body fat, he would likely have barely gotten a couple of weeks.
For me, a vitamin is a food, and counts as intake, and was the difference between him being able to fast for that long, and not. Some people are very single minded in what they regard as food. I simply consider that for instance beef, and chicken aren't the same, no one considers them the same, but they are basically made up of the same things once broken down which is what your body uses. Vitamins, protein shakes, its all the same stuff, just in a different package. If plenty of foods with near identical nutrients can look so different in their packaging(chicken, turkey, whatever), then I really fail to see how everything the body uses for nutritional content with the same base parts isn't all considered food.
Essentially we have the woman discussed in the first post and the linked article showing two people eating body fat for a prolonged period of time. Someone without 30lbs, or the other guy, a couple hundred, to lose can't fast for a prolonged period.