You have options. First, the family courts can order a paternity test to determine if the child is yours. What you would need to do is file a petition for Allocation of Parental Responsibilities. This would allow you to gain visitation (at the very least), if the child is in fact yours.
On the flip side of that equation, the court must order child support if the child is yours.
The bottom line is that you really need to consult with an attorney on this issue. I recognize that you said you are financially struggling, but this is not something you want to do by yourself.
My firm provides free consultations (as do many others) and it might be worth while to look into this further now, so that you do not get blindsided at some point down the road.
I hope this helps.
Nothing in this communication should be considered legal advice. Nor should this communication lead you to believe that an attorney-client relationship has been created. Only after thorough analysis of your case with you in my office can I provide effective legal advice on your specific issue.