The following persons may sign an acknowledgment of parentage to establish parentage of a child:
1. Woman who gave birth. A woman who gave birth to the child and who is not a gestational carrier;
2. Alleged genetic parent. A person who is the alleged genetic parent of the child and who is not a donor;
3. Presumed parent. A presumed parent of the child pursuant to subchapter 4, except that a presumed parent pursuant to section 1881, subsection 3 must meet the requirements of that subsection and may not submit an acknowledgment of parentage for at least 2 years from the time the child was born or adopted; and
4. Intended parent. An intended parent of the child pursuant to subchapter 7.