I believe you have misread the statute. The qualfiers are not listed as either or - ALL must be met. The only "or" in the statute is contained within #7; ONE of those options must be met in addition to ALL the others.:
An affidavit for voluntary relinquishment of parental rights must be: (1) signed after the birth of the child, but not before 48 hours after the birth of the child, by the parent, whether or not a minor, whose parental rights are to be relinquished; (2) witnessed by two credible persons; and (3) verified before a person authorized to take oaths. The affidavit must contain: (1) the name, address, and age of the parent whose parental rights are being relinquished; (2) the name, age, and birth date of the child; (3) the names and addresses of the guardians of the person and estate of the child, if any; (4) a statement that the affiant is or is not presently obligated by court order to make payments for the support of the child; (5) a full description and statement of value of all property owned or possessed by the child; (6) an allegation that termination of the parent-child relationship is in the best interest of the child; (7) one of the following, as applicable: (A) the name and address of the other parent; (B) a statement that the parental rights of the other parent have been terminated by death or court order; or (C) a statement that the child has no presumed father and that an affidavit of status of the child has been executed; (8) a statement that the parent has been informed of parental rights and duties; (9) a statement that the relinquishment is revocable, that the relinquishment is irrevocable, or that the relinquishment is irrevocable for a stated period of time; (10) if the relinquishment is revocable, a statement in boldfaced type concerning the right of the parent signing the affidavit to revoke the relinquishment only if the revocation is made before the 11th day after the date the affidavit is executed; (11) if the relinquishment is revocable, the name and address of a person to whom the revocation is to be delivered; and (12) the designation of a prospective adoptive parent, the Department of Protective and Regulatory Services, if the department has consented in writing to the designation, or a licensed child-placing agency to serve as managing conservator of the child and the address of the person or agency.