This raises a basic problem.
Does the Catholic church permit the baptism of non-Catholic infants?
Apparently only if there is a “well founded hope” that the child will be raised as a Catholic, or if it is in danger of death before maturity.
It also requires the agreement of a lawful, single parent, so though that parent is in an unrecognized marriage, the other partner is of no moment. However, the church will likely not acknowledge their presence as a parent.
Infants become Catholic at the moment of their baptism.
Also, I don’t think a baby in a home where lesbians continue the farce that is their “marriage” can be compared with even a baby in the home of a single parent.