She tried to overcomplicate it by thinking "oh if they ask which company i'll say that i'm under NDA - wait, no, that'll just make people more suspicious".
Rie, not sure how to break it to you, but people don't care who you work as. Not in 90% of the time. 90% of the time, when they ask, it's a "polite and neutral conversational question" thing, to which you give a "polite and non-committal answer" and move on.