Here’s Father Cory Sticha on the topic:
I’ve been thinking more and more about my concerns around giving special blessings to children at Mass. There are a number of people here who are continuing to express concern because of my stance on not blessing children in the communion line. To be clear, this is a position taken not out of spite, but out of a respect for the liturgy and for the documents of the Second Vatican Council. In paragraph 22, Sacrosanctum Concilium states, “Therefore no other person, even if he be a priest, may add, remove, or change anything in the liturgy on his own authority.” A priest does not have the authority to add a blessing to the liturgy for anyone, because a priest does not have the authority to add anything to the liturgy. It doesn’t matter if other priests go beyond their authority and do it in disobedience. In my mind, it is inappropriate, and I will not. Period.”Read More:
……….In Mass, we’re at the foot of the cross. Lumen Gentium says: “As often as the sacrifice of the cross in which Christ our Passover was sacrificed, is celebrated on the altar, the work of our redemption is carried on, and, in the sacrament of the eucharistic bread, the unity of all believers who form one body in Christ is both expressed and brought about”.
So, all of us who participate in Mass are part of one Body of Christ, the Church, which includes loud children. We come together to partake of the one sacrifice of Christ on the cross, which is offered to us in an unbloody manner in the Eucharist. Therefore, crying babies can be heard as echoes of the crying women of Jerusalem who wept on the way to Calvary.
Furthermore, children have just as much right to be at Mass as we do. In fact, small children are the only sinless saints in that church!
Finally, remember this – a church without crying babies is a church with no future