legal aid eligibilty

I am divorced, have been for over a year however there has been so:( me delay in seperation of assets (over 2 years - nearly as long as we were married) mainly due to my ex dragging his feet.
I now have a six week old baby. I moved into my new partner's home when our baby was born, prior to that I was renting seperately.
My partner has recently came through a really quick and amicable seperation from his ex wife and is financially secure in his own right. We are financially independent, have no joint accounts or assets, I purely pay him for half of the household bills. He wants no involvement in my previous affairs and mounting debts from these (which I can easily understand).
I am now on maternity leave, my income has dramatically reduced. I have no assets other than a house (which my ex lives in) and there is very little equity in this. All of my savings have been used to fund ongoing solicitors costs to date. I have even had to sell my car to fund the last bill.
My problem is that I am unable to fund things myself going forward. I thought I may be entitled to some kind of legal aid however I am told my partner's income/assets need to be taken into account (which I have no access or right to...and which would mean I would not be entitled to any financial help).
Can anyone suggest anything to help?

If I read it correctly, there is little money to divide.
There's no point employing legal services to chase nothing. What is your aim? Is it to get your name off the mortgage or your ex to buy you out?
You were married for only two years. I can't see what the legal bills would have been spent on.
What does your ex want?

All I want is for my name to be taken off the mortgage. I have asked my ex to buy me out and he says he wants to but is taking more than a year to do so.
I just want to move on with my life and my solicitor has suggested the only way to do this is to go through courts. My ex has already applied to do this.
We were married for 4 years and to date legal expenses have been incurred basically just bickering back and forward, chasing up responses and getting nowhere!! I honestly feel like I am just throwing away money but unfortunatly we are no longer on speaking terms.
I wish I knew what my ex wanted!! He won't tell us!!