Should I baptize for a child of a homosexual couple ? And if I do, how can I put their names in the Baptism record. Thanks!
Go here: http://www.usccb.org/about/doctrine/publications/homosexual-inclination-guidelines-pastoral-care.cfm. See the last paragraph under “Sacraments and Worship.”
Your diocese may have particular law that applies too. Check on that first. Then make sure that there is a well-founded hope that the child will be raised Catholic.
The norms pertaining to adoptive parents are here: http://www.usccb.org/beliefs-and-teachings/what-we-believe/canon-law/complementary-norms/canon-877-3-recording-the-baptism-of-adopted-children.cfm.
If one is a biological parent, that name gets listed as a parent, the other name, no. If neither is biological, then one is listed as the adoptive parent.