Both bioparents must agree to the adoption. The bioparents also may select any adoptive parents that THEY wish. Presuming daughter is also in Nebraska, and not living in a different state, consent for adoption is as follows:
http://www.adoptionsolutions.com/general/state laws/ne_law.htm
Consent to Adoption
The following must consent to the adoption:
1. both natural parents, or the mother of a child born out of wedlock;
2. the adoptee, if 14 years of age or older or the adult child of the adopting person's spouse; and
3. the court, if it has custody of the child.
Consent is not required of a parent who
1. has relinquished the child for adoption;
2. has abandoned the child for at least 6 months;
3. has had parental rights terminated; or
4. is incapable of consenting.
If the child is born out of wedlock, the rights of the father shall not be recognized unless within 5 days after the birth he files a notice to claim paternity. If he requests custody of the child, then the court shall determine if he can properly care for the child and whether it would be in the child's best interest. If consent is not required of either parent, for any of the above reasons, then substitute consent can be given by the Department, the child-placing agency, or
the guardian ad litem.