The name Sophronia is a girl's name of Greek origin meaning "sensible, prudent". Sophronia and is often added to lists like Greek Baby Names for Modern Kids and discussed in our forums with posts like "Initials - Twins".
From the experts:
A name some people first encountered in the old children's book series The Five Little Peppers, in which Sophronia, the youngest of the Peppers is nicknamed Phronsie.`It was also used by Dickens in two of his novels: The Old Curiosity Shop and Our Mutual Friend.
An archaic option for elaborating on Sophie/Sophia.