First, what id the Church’s stand on surrogacy (defined as a woman agreeing to become pregnant and deliver a child for a contracted party)?
This is a sin against the Sixth Commandment.
2376 **Techniques that entail the dissociation of husband and wife, by the intrusion of a person other than the couple **(donation of sperm or ovum,
surrogate uterus),
are gravely immoral. These techniques (heterologous artificial insemination and fertilization) infringe the child’s right to be born of a father and mother known to him and bound to each other by marriage. They betray the spouses’ "right to become a father and a mother only through each other."166
2377 Techniques involving only the married couple (homologous artificial insemination and fertilization) are perhaps less reprehensible, yet remain morally unacceptable. They dissociate the sexual act from the procreative act. The act which brings the child into existence is no longer an act by which two persons give themselves to one another, but one that "entrusts the life and identity of the embryo into the power of doctors and biologists and establishes the domination of technology over the origin and destiny of the human person. Such a relationship of domination is in itself contrary to the dignity and equality that must be common to parents and children."167 "Under the moral aspect procreation is deprived of its proper perfection when it is not willed as the fruit of the conjugal act, that is to say, of the specific act of the spouses’ union . . . . Only respect for the link between the meanings of the conjugal act and respect for the unity of the human being make possible procreation in conformity with the dignity of the person."168
Secondly, I read somewhere that there is a movement for parents to “adopt” unwanted fertilized embryos in fertilization clinics (virtually like surrogacy, except with the intent of adoption). What is the Church’s stand on this?
The Church has not given a definitive teaching on the idea of adopting already fertilized embryos. But the new document from the Congregation of the Doctrine of the Faith-- Dignitas Personae-- addresses embryo adoption in paragraph 19 and seems to indicate this is not acceptable:
*It has also been proposed, solely in order to allow human beings to be born who are
otherwise condemned to destruction, that there could be a form of “prenatal adoption”. This
proposal, praiseworthy with regard to the intention of respecting and defending human life,
presents however various problems not dissimilar to those mentioned above.
All things considered, it needs to be recognized that the thousands of abandoned
embryos represent a situation of injustice which in fact cannot be resolved.*
usccb.org/comm/Dignitaspersonae/Dignitas_Personae.pdf