You may want to read up on this and encourage her to see a doctor for a checkup and get a referral to a psychologist. That is quite an elaborate ruse and tale if it was to impress upon you merely that she "has friends who invite her places". At any rate it's creating issues, no matter how harmless she thinks it is since the deception is not for any real gain.

"Defining characteristics of pathological lying include

A definitely internal, not an external, motive for the behavior can be discerned clinically: e.g., long-lasting extortion or habitual spousal battery might cause a person to lie repeatedly, without the lying being a pathological symptom.
The stories told tend toward presenting the liar favorably. The liar "decorates their own person" by telling stories that present them as the hero or the victim. For example, the person might be presented as being fantastically brave, as knowing or being related to many famous people, or as having great power, position, or wealth.

Diagnosing pathological lying can be difficult. Psychologists are trained to understand the issues this diagnosis presents as a disorder. It is listed in the Diagnostic and Statistical Manual of Mental Disorders, third edition It is a stand-alone disorder as well as a symptom of other disorders such as psychopathy and antisocial, narcissistic, and histrionic personality disorders, but people who are pathological liars may not possess characteristics of the other disorders."