Help my daughter and myself are going to be homeless

Lets start from the beginning, 4 years ago I found out I was pregnant after trying for two years, myself and my partner were over the moon but only a few months in I lost my baby. Devasted and grieving I sunk into depression I lost my job, my home and my partner, I was in a very dark place and ended up living with total strangers in a shared accommodation! I pushed my family away so had no one! After a few months and with doctors help I managed to start trying to rebuild my life I got myself a job and rebuilt bridges with my family I was slowly getting there. I briefly reconciled with my partner but it wasn't to be, two months later I find out I was pregnant again I was so scared, I lived each day at a time and my mum agreed for me to move back in with her temporarily. I was extremely ill during pregnancy and was in and out of hospital so was forced to give my job up and go onto benefits. My daughter was born a healthy weight at full term, I focused on her and getting myself sorted, after a year I decided I didn't want to be a mum on benefits so with practically no help from the jobcentre I went it alone and got myself a job, I work full time to provide the best for my baby girl, my family help out with child care as I work 24 hour shifts. My mum now wants to move to a smaller property so has asked us to leave, I have approached my local council but where I lost my previous property I owe them money from this, I have paid some off but still owe £1600 and they will not house me until this is paid, I am trying my absolute best but it seems as soon as one thing is sorted I get whacked with something else. My mum wants us out in January and I just cannot raise that kind of money in time by myself, this is why I'm asking on here. I am not another mum on benefits, I work hard and do the best for my daughter, I just need a break so we can start a fresh and move on with our lives. the generosity of strangers has always astounded me so I'm hoping and praying that I can receive some of that kindness. Thank you for reading my story xxx