I definitely think you need to get custody established as soon as you can to protect yourself and your little girl. If anything happens to you the state would take guardianship and very likely place her with her father.

If you want to get child support you need to file with the child support division in your county, they will get you a court order and although he does not currently pay and may not because of the recession it will still be owed to you (it will be like a saving account) and at somepoint in the future he will work and you will be able to get the back support owed to you through wage retention or tax returns.