This has clearly been written from an unattributed security service source. As such it is very carefully written but lacks any clarity. Take this for example...
// If claiming full housing benefit, she would be entitled to more than £10,000 a year. Her two children under 18 entitle her to around £1,500 a year in child benefit. With jobseeker’s allowance, Mrs Beghal may have cost taxpayers more than £150,000 since moving back. //
The paragraph is peppered with 'If', 'would', 'may have'. It is very lazy journalism. They do not know if she is on benefits, but publish figures anyway to demonise her. Even if she is on benefits, she is entitled under EU law and has done nothing wrong. If anything, she and her children are just guilty by association.