it is really hard when you are struggling for cash, i know, i had to sell my jewelry, and my late partner's collectables when i had no income for 12 months and still had a mortgage and bills to pay!! I had no one to help me out so had the choice of sell belingings or lose my home!!
maybe a yard sale or (i'm not sure if they do car boot sales around your area) may boost your income, especially if you make it known the proceeds are going towards your daughters medical bill.
maybe ebaying some of the things your family nolonger want could be a less public way too.