Well, she'll need to notify the Local Authority that she is ELE. Otherwise, she'll be spitting feathers over the visits from people who have to ascertain whether a child is Missing from Education, hasn't been trafficked, murdered or generally being kept home as a servant/carer when the Secondary place is declined or RN fails to show up for the first day (schools have to notify those to the LA by law, no disappearing off the radar allowed these days.
No 1-6pm naps leaving an 11 year old unattended from now on. Can't ELE if you're unconscious, either - that's a flag for neglect/failing to put the welfare of the child first; the title of Young Carer does not mean 'doesn't have to attend school'.
Although, of course, RD will be there because they're living together really even if she is claiming benefit as a single parent. Depending upon his educational level and assuming he isn't absent because he's at work, they might accept it with some input into local EHE groups. Which means lots of very middle class Mums, just like the ones she hates [because they're just like her but with more money].