I was a single parent for several years after my first husband left and claimed benefits to top up my income, but didn't whinge or complain about money being tight.
While I have sympathy with anyone having to get through hard times, it seems most people know of someone adept at 'working the system' so it can't be that rare. I'm also not sure why the woman in the OP went to the local paper about her problem with the council.
Starmer’s plan to ban under 16’s from social media
for you Annie & others who have had unexpectedly tough times to manage.
. I wanted to weep, she was on the brink of a new life and she had thrown it all away IMO.