I think everyone needs to calm down and breathe.
The OP has made the best decision for her family in her opinion.
I have a lot of respect for anyone with a degree tbh as I am currently 4 months into the degree I started when I was 19 and stopped because I was pregnant with dd.
A degree from Cambridge is, I think, something to be proud of.
Being a single parent, coping with the death of a partner and doing your best to help your DCs through that is, I would imagine, heartbreakingly difficult.
The benefits system exists for this very reason. It's to help families. If the OP thinks it's in her best interest to utilize this whilst she is able to, then that is her choice. None of us can tell her it's the wrong thing to do, and tbh I don't think it's anyone's business, if the state allows her x amount of money to support her family while she is dealing with this situation, it is actually nothing to do with anyone else.
I hate the way this turns into horrible things being said, like "scrounging". It's childish and unnecessary.
I do not appreciate the ops suggestions about SAHP vs WOHP, only because I believe that it's a personal choice based on individual circumstances.
I don't like the insinuation that all DCs want a SAHP and all DCs are miserable in childcare, maybe because my experience has been completley different to the ops.
But you can disagree with an opinion without trashing someone's life. Without saying they are stupid and entitled and scrounging and all the other nasty things that was said.
Why can't the OP get a good job with her degree?
Even if she doesn't, it isn't nice to take the piss out of something that is actually a major achievement to be proud of. Id be proud if I had an Oxbridge degree, and yes, I would expect that I would be successful in gaining a job with it.