23 yo living at home - what benefits?

Very much not in touch with the benefit system and recent changes so perhaps someone can help?

My daughter who is 23 has come back home recently. At the moment she does not have a job in London (was working in Cumbria before coming back to London).

I understand she can probably apply for JSA and and the under 25 yo rate.

I live in a council flat and receive no benefits myself, I pay my full rent and full council tax - the council tax of course went up now as I used to get the single person discount but since my daughter came back and I notified the CT office, they have sent me a new bill with full cost. That is fair enough of course as it is 2 of us living together now.

Can my daughter apply for any HB or CTB towards the rent/CT which I feel we should share now - considering she is living in the flat with me and I pay full rent/council tax?

Extra person at home is of course going to put the bills up a bit too so just wondering.

Of course she is looking for a job here in London now but till she finds one - it is going to be hard for me to support her really.

Can anyone advice please?

Thanks a lot