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Congratulations and mazal tov. Thanks for writing.

Above all, you're going to be working with a Rabbi and thus you should know that s/he is the final authority in the process of conversion of your daughter. Call the local Reform or liberal Rabbi for guidance.

I can't imagine any problem or challenge to naming her or converting her.

In the traditional community, we would take the child to the mikveh. I often had the mother wear a swimming suit and go into the mikveh with the baby. In one quick swoop with a lot of "play," the baby can be immersed. Traditionally the baby is immersed three times, but that is for the sake of being certain she was completely immersed.

Thereafter I would take parent(s) and grandparent(s) and friends to the synagogue and conduct a conversion ceremony in the chapel or the sanctuary.

Finally, on a Shabbat morning or afternoon, we would call the parent(s) to the Torah and name the baby, ultimately providing the child with a conversion and naming certificate - guard them well!

While it is true that a child has the option to deny the conversion at the age of majority, it never happened to me, and I am feel confident that if you raise the child in a Jewish home, affiliated with and involved with a synagogue and Jewish community - she'll want to be a proud and identified Jew for the rest of her life.