I think you're right about the cycles.

When Jonathan (my son to all who do not know me) was baptized he had the ceremony at the same time as four girls - all named Isabelle.

He was very nearly baptized Isabelle too. I interupted the priest just in time.

He started "and I baptize thee Isa-" "no, Father, no" "it's Jonathan" I interupted quickly. And he said "oh, it's the boy"