Changing a Child's Name: No Father Listed on Birth Certificate, How to Change Child's Last Name in Texas

My question involves name change laws in the State of: Texas

Hello all. My child is 5 years old and we are residents of Texas. At the time of his birth there wasn't a father listed on his birth certificate, however I did give my son the father's last name.

The father is NOT involved in our lives, he does not pay child support, nor have ny visitation. I tried to pursue child support initially and the judge said there needed to be an acknowledgment of paternity. My ex did not sign the acknowledgement and is basically denying being the father. I have opted to not pursue this.

I very badly want to change my child's last name to my maiden name. However, all of the paperwork I have seen to accomplish this requires that I provide an agreement from the father. If there is no father on the birth certificate I shouldn't have to provide this correct? Can I just turn in the forms with the birth certificate that shows no father listed as proof of termination of parental rights?

Thank you for your help and time.

Changing a Child's Name: No Father Listed on Birth Certificate, How to Change Child's Last Name in Texas