Do Mormons have the same first names?
No, definitely not! Members of the Church of Jesus Christ of
Latter-day Saints (the "Mormon" church) can give their children any
name they want, and converts keep their given names.
Some people mistakenly think that the titles that are used by
Mormons are their first names. Mormons commonly address each other
by "Brother", "Sister", "Elder", and "Bishop". These are not their
names but just titles, like calling someone "Mom", "Doctor", or
"Mayor".