If, as I suspect, she has been employed for less than 12 months then she has no statutory employment rights (unless she has been discriminated against – which on the info provided appears unlikely).
That being the case, as long as they dismiss her in accordance with any contractual rights to notice then there is unlikely to be any legal recourse. If they didn’t provide/pay appropriate notice then she could potentially claim for breach of contract or wrongful dismissal (essentially the same claim – just depends whether you went via county court or employment tribunal).