It depends on the circumstances. Courts are reluctant to leave a child without two parents. Consult with an attorney regarding your circumstances to see if he/she believes it is something the court would consider.
The information provided is not advice but a legal perspective and you should schedule a consultation with the lawyer of your choice.
I am not sure why you want to terminate parental rights. Are you the biological father or biological mother? What is the motivation behind this question? If you are the father, are you trying to avoid paying child support? If you are the mother, are you trying to protect your daughter from harm? Depending on your reason, there maybe other options than termination. You need to talk to a lawyer about these options. Based on your reasons, your lawyer can help you find the best way to accomplish your goal, with or without termination. As for what forms you need to fill out, the answer is complicated. In short, there are no standard forms.
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