Increasinglymiddleaged your parents may not have had this arrangement and that's fine of course it is, but a lot of people have a setup where they have a joint account where all the bills come out of plus their own accounts for any spending money type stuff. It would be a better solution for OP than what she has now - she shouldn't have to ask for money like a beggar!
Whether OP is paying for childcare or not is not a really relevant piece of information in the scheme of things - having to ask for money all the time is WRONG, not being on the deeds is WRONG, having to sell stuff on eBay in order to make ends meet is WRONG, having to walk to work because you can't afford the bus fare is WRONG, her daughter's savings being in his name only is WRONG.
"Hurry up and marry him" Curioushorse? Why in God's name would she do that until she sees how he reacts to her conversation with him?
Although I firmly suspect/predict that OP will have a wishy-washy chat and ask permission (again) for various things and her situation won't change one single jot.
Thus she will remain in the vulnerable position she is in now should they split - her no longer paying so much childcare is, actually, pretty irrelevant to the bigger picture of the financial/legal landscape of this couple overall which has all the control and power from one person to the obvious detriment to OP who seems to be getting treated as a doormat really - but it's not going to get better OP unless you take this bull by the horns and stop asking and start telling what YOU want, not asking please sir, can I have some more.
I honestly do hope that you can manage to change things - when I was with my DH we thought we'd be together forever. Things don't always turn out like that though, and then you can be in the poop if you've not been savvy with a view of looking out for yourself - your other half most certainly is looking out for himself that's for sure.