Mama,
I won't pretend to know what all you and your daughter have been through, nor will I claim to know more than a doctor, but I would try EVERYTHING else possible before putting my child on antidepressants.
These drugs are dangerous, not approved for children (not that that stops drs from prescribing them), and have not been subjected to longitudinal studies. We have NO idea how they effect growing bodies and minds in the long term. These drugs have also been a common factor in almost every school shooting. It has been discovered that each of these young men was on a.d.meds. While the guns have gotten all of the attention as the culprits, commentary on this particular commonality has been absent altogether.
So the options I would try first (if you haven't already for more than 3 mos):
1. Completely natural, whole food diet - what you take into your body alters your brain chemistry. Synthetic chemicals used for longevity, flavor, etc have been linked to behavioral disorders again and again. This is in the labels in Europe, not here.
Julia Ross does amazing work with treating depression with amino acids, tryptophan, zinc, and B vitamins - with wonderful results. She has some great YouTube videos so you can learn more about the link between these foods/nutrients and brain chemistry, including the production and balance of serotonin. (juliaross.com , dietcure.com, moodcure.com)
No sodas, energy drinks, etc....read labels and choose REAL food (if you're not already, that is!!)
2. Exercise - is now proven to be as effective in regulating brain chemicals as mild antidepressants. Have her get out and do something AEROBIC for about an hour. The combination of activity, exertion, and Vit D exposure will work wonders. (Vitamin D is almost always low in people w/depression)
3. Natural mood management - essential oils such as vetiver, cedarwood, lavender, sandalwood, citrus oils (and blends that include them) are very effective in elevating mood. No need to apply topically or take internally - often, having them on hand and inhaling the scent is enough. Young Living, doTERRA, and Plant Therapy have wonderful products that are thoroughly tested for quality.
Depression is a holistic issue and many, many people suffer from it on some level. It's not enough to disregard the recommendations above and think that a pill will be enough. It will help, but not without cost.
I pray all the best for you and your daughter as you figure out what's best for your situation. Hugs.