My mother's father was a fraternal twin. Grandaddy was born in Cincinnatti, in 1880, a time and place where twins were a rarity apparently, because their church's bazaar offered a booth where visitors could pay two cents to see the McCallister twins. His aunt went and saw two baby dolls labeled Edgar and Edna. She went home to tell the McCallisters, and they all agreed Edgar was an excellent name for the new baby boy. Up until then he'd been called Edbert.
Granddaddy was called E.W. or Mac. He was a patent attorney, and he argued a case before the Supreme Court.
I would advise against naming twins Edgar and Edna.