Hi Barbara:
My Second Edition Webster Collegiate (Boy did I blow a date there!) states the
following:
Euphemia [Greek origin]
Euphémie = French
Dimminutives are Effie and Phemie.
I think that the possibilies are high that they are the same. But---There are
always exceptions. Mom may have thought a certain spelling was cute, maybe it
was translated verbably/phonetically from Greek, maybe whoever provided the
information couldn't pronounce it correctly, maybe the person recording the
name spelled the name the way he heard it (especially in the States), etc, etc.
Gale