As a Southerner, I'd say that if you look at what is generally popular in the US, you will find that that is popular in the South too.
A lot of older, more traditional names are also pretty popular.
Mary Something is very popular in the South (
Margaret,
Katherine,
Claire, etc.)
CarolineCharlotteHattie is becoming a big thing here, too.
Harper (a nod to
Harper Lee).
Grace &
GracieMadison
Boys are pretty traditional. Last names as first names are common.
Jackson is super popular. I've met so many Olivers.
On the Gulf Coast & near New Orleans most people I know have very Catholic names or French names, either in their first name or last name.
AmelieEstelleClaire
Pierre &
Jacques... so much.
I know more about the Alabama-Mississippi-Louisiana area. The eastern seaboard & Arkansas/Tennesee/Kentucky might be different.