I think we all know that there are single mothers and single mothers. Some are there through no fault or choice of their own, others are not. Many are hardworking, others are not.
But I agree, it's the 'entitled' ones who get your hackles up. I used to know of one who'd hardly ever worked for the several years since she'd left school, although she was entirely capable and at the time, and in that area, anyone who really wanted to could find a job.
She was forever complaining about how it 'wasn't fair' at the council wouldn't give her a nicer flat, or that she couldn't afford to run a car, or that she couldn't go on long haul holidays like her friends. She was endlessly complaining that her hardworking parents wouldn't fund this or that non-basic item, and - most memorably - that her mother who was working wouldn't take a fortnight off to have her child while she went off on the holiday she was 'entitled' to.
What I still don't understand is how she was allowed for so long after leaving school to sit there on benefits while refusing any work or training that wasn't in one very specific and specialised field, which was the only one she said she was interested in.
It did her no favours at all, and I think that as her child grew older she really regretted not having made any effort with work or training after she left school.