I’m probably being too charitable, as I tend to be, but I don’t really see the “hoax” here.
She lied to her boyfriend (not a crime), lied to her family (not a crime), went incommunicado for less than 24 hours (not a crime). She lied to police under questioning when she probably should have said nothing, which I guess is a crime, but it just seems like a young person who did something stupid that got blown out of proportion.
Sure, it’s annoying and wasteful, but I truly hope it can be resolved without causing her more harm than she’s already done to herself.