There are many denominations of Christianity, and they have different viewpoints of baptism. Some do dedications and adult baptism as they interpret their bible thus. Others believe in infant/child baptism.
Catholics often emphasize what Peter says.
Peter explained what happens at baptism "Repent, and be baptized every one of you in the name of Jesus Christ for the forgiveness of your sins; and you shall receive the gift of the Holy Spirit" (Acts 2:38).
The teaching was not restricted to adults. "For the promise is to you and to your children and to all that are far off, every one whom the Lord our God calls to him" (2:39). We also read: "Rise and be baptized, and wash away your sins, calling on his name" (Acts 22:16).
These commands are not restricted to adults. There is a necessary connection between baptism and salvation, a connection explicitly stated in 1 Peter 3:21: "Baptism . . . now saves you, not as a removal of dirt from the body but as an appeal to God for a clear conscience, through the resurrection of Jesus Christ."
As I have been brought up Lutheran, we go very much by
"Let the little children come to Me, and do not forbid them; for of such is the kingdom of God. Assuredly I say to you, whoever does not receive the kingdom of God as a little child will by no means enter it" (Luke 18:15-17).
This is the main point of the baptism and any children's liturgy in a Lutheran church.
I think this Lutheran website discusses the issue well: www.orlutheran.com/html/trinfbap.html
However, so much about faith cant be explained or reasoned with, and I would not see anything strange in a non-church goer having a feeling that God wants her children baptized. I see that as OP saying that there is something in her telling her that she should open up the door to Jesus for her child, and that can never be a bad thing!