sorry, I need to unpick a few things.
the distance to job/childminder is not an issue in itself, but it is an issue in terms of how much it limits hours that she can work. So the childminder being 1 mile away, means that they will not do school drop offs to her school. She could easily drop the son off there on the way to work, but then they will not do school drop off.
The distance to work is not an issue, except that it limits the hours in the day left to work. She would happily do the distance, she applied for one job which was 45 minutes walk (buses didn;t run in the right direction) and she was happy to walk it.
There is no way that she would be able to be a childminder, her home is not suitable and she simply doesn't have the skills to organise herself and her son well, let alone look after others. Her reading and writing skills are very poor, she would not get past the first forms to fill in.
Options like studying etc are just not realistic. She wouldn't get past first base (that's not her giving up, that's me observing her).
She has applied for dozens of jobs, cleaning, care, shops etc. There all turn her down when she says she needs school hours.
I really doubt that she would have the capacity to organise self employment well enough to make it work. And to be honest, having seen her house, I am not sure I'd employ her as a cleaner.
So no one in her area with children, if they don't drive, have jobs? Or in any other similar area of which there are hundreds thousands up and down the country?
well, all the people I know in her area that have jobs have:
a partner who shares school runs
drive
relatives who do child care.
but in most families, one parent isn't working.
One reason that the school doesn't have wrap around care is that so few families are working. Many of them are like this lady.
What do I want the job centre to do?
Well the fundamental issue seems to be childcare, provision of it and the cost of it. Because even if she could find a child minder, during the holidays that would mean that all the money she earnt went on child care, which leaves them with no money to live on.
It just seems like she is stuck between a rock and a hard place.