There are always people on the highly skilled visa forums, asking if this type of thing is a scam . They are then directed to the government site that shows what they have to do to get a highly skilled work visa: they must have an employer that offers them a job to work for them only and they provide the CoS; they must be on their PAYE (pay Income Tax through that employer and pay Type 1 NICs).
In this case, she was in the UK as an International student on a Tier 4 visa. These have international advisors at each universtiy, for them to go to for advice and these do advise on working too: stop them being scammed, not breaching their visa etc. Instead of leaving the UK, the people in the link have overstayed their visas. There is no, special leave to stay in the UK outside of the rules, for those that have lost a few thousand to a scammer who they thought would be able to get them a work visa.
Those on a Tier 4 Student visa do have the advantage of not needing a RLMT; under present rules; but if they don't have the skills an employer wants then they won't get a work sponsor. That means they and their family need to leave the UK, just as all those on temporary visas that don't lead to settlement, have to do. The Tier 4 dependant spouse has been allowed to work and could have found a work sponsor to keep the family in the UK, but these will need to be able to do a graduate job, need to have the skills an employer wants and be subject to a RLMT .
There have even been people reporting that they paid thousands for a CoS and were told they could use that to apply for a work visa to the UK and then find a job when they get there, but all they received was a 10 year ban from the UK for using deception on an application.
There as so many myths going around and not just about employment.