[quote="Used2beSherryG, post:7, topic:329316"]
Case by case, and priest by priest, most probably. The father is not living in the household and therefore has no bearing on this case at all. The mother would need to demonstrate her faith and ablility to bring up the child as a Catholc with formation. However, I would hope and pray that the priest would perform the baptism . The graces that flow from the Baptism itself will be of lifelong importance for the baby. I kknow of cases, where a baby was Baptised, never catechized but still turned to the one true faith once able to begin discernment.
Some priests wouldn't. In a former parish the Pastor insisted that the parents attend Mass faithfully for at least 6 months before he even considered baptizing their child. OTOH, our present Pastor would baptize that child in a heartbeat.
I just finished doing baptismal preparation this evening with 3 couples. One couple, older parents with another child, I see in church regularly. I had never set eyes on the two younger couples and we are the only parish around and only have ~425 families.
When asked what responsibilities having their children baptized imposed on them as parents the older couple had ready answers and one of the younger couples wanted help from the parish to fulfill their role as primary catechists for their child. The other couple didn't participate in the conversation, had little to say about why they were getting their child baptized and seemed to have no idea of their responsibilities as parents. All three children will be baptized. The older couple will definitely have that child in church on a regular basis. The couple who wants help will get it and may well start bringing their baby. But I know, as I have known with so many before, that once that third baby is baptized we'll be lucky if we see her in Church at Christmas and Easter but when she's 6 or 7 someone will add her name to the First Communion list, she'll come for those classes and make her First Communion and then we probably will never see her again.
That said, mine were all in Church every Sunday, baptized, confirmed and received Communion and not one of the three goes to church other than at Christmas and the two who are 'married', married outside the church - one to another Catholic, one to a nominal Anglican. Our one grandchild remains unbaptized because, to quote his mother, "I refuse to lie to a priest and say I'm going to raise him in the Church just so he can be baptized."