Monte, Debhor and Lilyan are all unusual names and are quite different from the majority of names I have encountered or heard from the Southern United States, but some unusual names do undoubtedly crop up there.
Lee is of course really popular for boys, and I have even seen it used as a middle name for girls. By in large though, the names in the south seem fairly traditional like
Elizabeth,
Amelia,
Abigail,
Caroline, etc. They do use nick names and middle names a little more perhaps than the north.
Monte sounds rather masculine like a nick name for Montmorency or
Montgomery. Debhor looks like
Deborah spelled using a thick accent, and Lilyan is another spelling for
Lilian or a combination of
Lily Ann.