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You gave alot of details and yet it is really hard to even begin to try and figure out someone complicated like this so let me advise a couple of things. Anti-depressant very often cause weight gain - for a variety of reasons, though some can cause weight loss so i would at least re-visit the medication issue.  A number of women's gynecological issues - fibroids, hormones can also cause weight gain.  Eating causes weight gain and though I don't want to sound unkind or make the assumption that something physical is not the cause - it sounds like there are eating issues going on here and I would get help from a therapist or therapist/dietician team to help with stabilizing your sister's diet so her blood sugars stay steady and so she gets off "fast food' and on to a healthy eating program.  It may help with her other issues and it will certainly be a way for her to safely drop these excess pounds if they have no medical origin or cause.