It is very distracting to have a baby and especially multiple babies in Mass crying and being taken in and out, in and out. This is a modern thing and it is literally turning Masses into cry rooms in some cases.
The priest should really say something.
Throughout this thread we've talked about disturbing parishoners. What about the priest?
At a High Mass at our chapel, the priest made a 1/4 turn from the altar several times, to look over his shoulder
indicating there was too much noise in the chapel. (babies crying).
On a separate occasion he stopped his sermon to reprimand 2 children who were acting up in the
pews because the mother had taken the crying baby out, leaving the other children on their own.
How can the priest offer the Holy Sacrifice devoutly with such distractions?
Babies at Mass is a new thing as several here have indicated.
Check out the first minute or two of this Novena Mass and Easter Sunday Mass from 1940
at Our Lady of Sorrows Bascilica in Chicago.
Try to find even one baby or toddler amongst the congregation .....there aren't any, and this was EASTER SUNDAY
https://archive.org/details/1940LatinMassFullVersion