I was, probably unreasonably, giving the OP the benefit of the doubt as especially persons from non-English speaking countries without Roman alphabets may not have an identity document with one simple name. E.g. you may have three different ways of romanizing your name, none of which is "correct" and none of which appear in any identity document issued in your own country, and on top of that you may have several names e.g. an English name. If she came on VWP she wouldn't have a visa, the only place her name would be written is on the long-lost I-94, which may or may not be exactly the same as the name on the ticket. Computers have actually made this problem worse.
But you are probably right that this was a fraudulent entry, especially since she remembers the date but not her name and has been out of status for so long. And on reconsideration, ten years ago any passport in the world would have a romanized name in it--what, did she lose her passport too? The burden is on her. Would be interested to see an explanation.