I do think going to Kent university will be problematic for being a barrister and won’t put her in the top pile for a good city solicitor either. If she really wants to be a barrister, the competition is fierce. I would also politely suggest that being a home bird isn’t a good idea either. Many who gain pupillage have done mini pupillages in many London Chambers and use this to narrow down the field in which they want to specialise, eg Criminal, Family, Civil etc. Going too niche is a big mistake as pp said above due to lack of niche opportunities.
Therefore, as needmore says, going into London is the best option and the best of those are UCL, Kings and LSE. She doesn’t have the traditional A levels for Law so see what is required for a subject other than Law if she has to.
DDs friends come from a very small group of universities and, as I said above, Oxbridge rules. If you don’t want to look beyond Kent her chances are severely reduced. Don’t forget the competition will have firsts from Durham, UCL, Warwick, Bristol and a few others. All of these will be more sought after then Southampton or Kent in the top tier of the legal profession.
I also think it’s not good to stay at home to study if you can avoid it. Law is hugely competitive and doing things for yourself and showing maturity and ability to manage lots of things is part of the learning process. Lots of people in law have excellent degrees and found time to do other things. Therefore going for a year abroad to study languages, getting involved in your university societies do make a difference. Commuting home perhaps isn’t the best prep, and it makes for a long day, and staying at home is not so good either.
There are details on very many Chambers web sites for mini pupillages and when to apply - not yet! It’s no bad thing to know what general area of law you want but you have to act strategically to get where you want to be. London universities certainly offer the opportunities.
For what it’s worth, DH and I know no one in Law! Our DD had no help from us or anyone else she knew apart from 2 weeks work experience in a solicitors office whilst at university. She is hugely self motivated and did it herself. Don’t listen to anyone that says you have to “know” people, you don’t. However staying in Kent puts you on the back foot for networking and everything legal. Try and advise her that only the best will do.