I luuurrrve the name Edith 
I only know one, despite the received MN wisdom that it is very popular.
The Edith I know is a teenager and there have never been any at her schools or anywhere else.
None at the school I work at either. I do know a few Florences, Eloises, Esthers, Arthurs, Freddies, Henrys, which are often quoted as similarly popular.
So to sum up - go for it!