How do single-parent Families in the UK who do home-education get an income (other than weekly Benefits)?

Can you answer erika8357’s question about Homeschooling?:

I’m just curious to know, how does a single parent teach there son or daughter by Home-education, get a second income (other than weekly benefits)? How does it work as they obviously can’t get a job. Who looks after the child if there is no baby-sitter, no other family members/or friends living nearby. And I mean an older child, over 14 at least. Is having a part-time job even allowed for a Home-educating single parent? Could you have a job part-time for maybe just 4 hours a week? Thanks for any replies!

California Homeschool Law