Q. 1. What does "enrollment for baptism" mean? I never heard this term in the Catholic Church.
A. 1. Enrollment for baptism means that a child will be baptised at a later date if certain conditions are met. Usually, a child is enrolled for baptism when parents request to have their child baptised, but neither one of them is a practicing Catholic.
During the past century, the Catholic Church has pointed out numerous time that a child should not be baptised in the Catholic Church if the parents are not practicing Catholics and there are every indication that the child will not be raised as a Catholic.
When a child is enrolled in baptism, it means that a priest will enroll the child as a member of the Church/Parish as a future candidate for the Sacrament of Baptism. The parents would be required to meet several times with the priest to instruct them regarding the responsibilities associated with raising a child in the Catholic Church.
After a period of time (it could be weeks or months), if it appears that one or both parents will assume the responsibility of raising the child in the Catholic faith, the priest will proceed with the administration of the Sacrament of Baptism.
Not all parishes implement the practice of "enrollment for Baptism."