It's bullshit of the smelliest kind, and it is in the Telegraph which has become worse than the the Daily Star for making shit up.
Even if she and her family eat soil for every meal the numbers still don't add up, even with a bursary.
Where is the Daddy in all this? She is probably taking on the role of 'poor' partner/ex-spouse to screw the tax and benefits system whilst her possibly very wealthy ex-husband/partner provides all the kids needs. My daughter had friends who's parents did this and the lad was driving an Audi at 18 while his mum got every benefit going and wanted for nothing. This is middle-class benefit-scrounging.
It also mentions that she is an immigrant, so presumably Daddy lives in another country and is not subject to UK tax, but the UK taxpayer is paying to educate his kids privately.
The other bollocks is that her reason for wanting her son to go to private school is that her daughter got teased/bullied by all the richer kids in the state school. How logical to send her son to somewhere with even more privileged and entitled rich kids where his supposedly poverty stricken background will stand out even more.