She has made some new friends but she feels they are superficial friendships and they all have best friends at home - and she has no-one
I agree with pps. She has only known them 2 months or potentially less. Of course at this stage they will be superficial. But what's wrong with that ? All friendships start somewhere. Many friendships are very much 'of a time' or 'of a situation', but that doesn't make them any less valuable. If anything this can be some of the most important friendships of your life - the other new Mums in a baby group, or, like in this situation, the other students at a University where you know no-one. I think you perhaps could help her to understand that? At this stage, 'friends' are people that you can put your head round the door and ask if they want a hot chocolate, or message to see if anyone wants to go to the student night you saw advertised.
Some people will develop longer lasting friendships at University, but many don't. Those that do develop over 3 or 4 years, not 7 or 8 weeks.
Her school friends faded away and even a close friend from Yr 7 stopped talking to her a couple of years ago. Maybe she was partly to blame - but I know some of those girls are just not very nice
But there does seem to be a common denominator is this. That is her. If someone has got to 19 / 20 without having friends, what do you think has changed now, that she would be able to maintain friendships ? Have you, or anyone else helped her to work on that ?
In a nutshell she's very lonely, not really coping with her first term, the work and feeling that she'll never be able to be happy or have a best friend she can talk to.
That is hard to accept, as a parent. It must be difficult for you.
Would she go along to join groups, teams, clubs, societies if you suggested it ? There are so many different clubs and groups that are there to bring people together at Universities. Most will also have a student hub people can go to if they are finding life tough / not settling.