I do not understand the "friendship". You are not there, she has family who is and I don't know what she offers you in this friendship (your own feeling of being needed?). I would listen to her and let her say/think whatever she wants; her family or those closest to her who care for her are the only ones who can/will do much for her should she need it; I think you will only hurt yourself trying to be involved form a distance and trying to take on a role you cannot sustain (support). You are not responsible for this person and though you care for her, her making stuff up does not "hurt" anything and if that is how she relates to you best, I would listen occasionally and otherwise shrug, as to how it relates to my own life as it does not. You know she makes stuff up; that should not affect you (make you angry) as you know she has problems and does this. She is not deliberately lying to you or making things up just to annoy you; it is not about you at all. I would disengage my personal feelings from this "friendship" so I did not get hurt; she does not sound capable of being a true friend of the sort you might want as "friend". Loving/caring about someone and being friends with them are not the same things.