[ertyuio]

Originally Posted by Tara.

But the baby's dad doesn't not want her baptized into either religion

EDIT: Misread the quoted material. xD

This is understandable, but is bound to cause problems if one is chosen above the other. Perhaps you should bring up to your cousin that baptism in a Christian faith only needs to be done once and, to my knowledge, applies to all Christian denominations (Matthew 28:19 -- forgot to mention that earlier).

When I have children of my own, I will likely choose a path that does not place certain religions as more important or valid than any others (depending on the religious inclinations of my potential wife). I don't want to influence my child whatsoever in the process of choosing a religion, or, otherwise, educate them about a variety of viewpoints -- both pros, and cons -- and let them come to a conclusion.