Corrected entry: In this episode, Carla knows Eddie didn't send her the flowers because she said his real name isn't Edward, it's Gee but in the episode when they're married, the priest says, Do you, Edward LeBec take Carla?"
Correction: It's possible that Edward wanted his preferred name spoken at the wedding. He could still use his legal name on the wedding documents, and when he communicates with Carla. I have met people who only want their spouses and closest friends/family to call them by their real name.
Correction: The priest at the wedding of Prince Charles (the first wedding, that is) got his name wrong - why can't the priest in a small wedding in Boston? Character mistake.