She can insist she bought it from
Coach till the cows come home but that bag did not come from Coach, and all that's necessary to know it's fake was a peek at the first picture. The other pictures only provide further proof that there's nothing right about it!
1. The style isn't made
2. The pattern is uncentered and misaligned
3. The serial number is invalid for this style.
4. The lining would never be on this type of bag. (Coach makes a lozenge lining but it isn't on this style and isn't thin, cheap, tacky rayon.
Honestly, Coach's totes are nothing like this one!
Feel free to refer your seller here for "enlightenment!" Perhaps she'll recall where she really purchased it.
If the wristlet came from the same seller, I recommend that you post pictures of that too. If she claims it came from the same "Coach outlet" as the bag, it's probably fake too.
ETA: This is what style 2181 should look like and some current listings for the valid style:
http://www.ebay.com/sch/Clothing-Shoes-Accessories-/11450/i.html?_from=R40&_nkw=coach+2181
leggomyhandbag.com/WebGallery/thumbs1796.jpg