Sam I would go to the office and ensure you anything regarding to your application for a transfer is hand deliver and date stamp and do you do have a bidding system. What area of England do you live in.
I beleive that your on the internet and remember you can apply to any Council of Housing Association in the UK. "See Freedom Pass under moving anywhere in the UK.
Look at you local authority Common Housing Register.
This is hard until the baby is born nothing will change and not until its x amount of years old classed has a child.
You have to get down to Legal Centre or go to a local library and look up your rights.
Also see if you Housing Association has a schedule called under rurles called the Overcrowding Reduction Initiative.
I be honest we have human being living in two bedroom property's with over 10 people living in the accommodation.
You say you cannot afford to rent.
Last speak to Shelter wait a long time for a answer it is a freephone number.