Date: November 28, 2017 07:51PM
It's a little murky. This is one parish's guidelines in the matter--
"Your marital status will be clarified during the baptismal preparation process. Baptism is not denied if the parents are unmarried or not married in the Roman Catholic Church. However, there may be reason to postpone Baptism if parents are not practicing the Faith, or have no intention of living a Catholic life in harmony with the Gospel. If your status is not in harmony with the Roman Catholic understanding of sacramental marriage, please inquire as to how we may help you enter into proper sacramental marriage or, if need be, seek a declaration of nullity by the Church."http://www.annunciationevv.org/Guidelines-for-Baptism
Having been raised Catholic, in my opinion baptism would never be denied. Catholics tend to view baptism as a human right. Baptism is so important to Catholics that in an emergency situation, anyone can baptize using the proper formula, even a non-Christian.