Factual error: If one of a person's parents is an American citizen, that person has citizenship no matter where they are born. Since Thelma was a U.S. citizen, that makes Peter a citizen of the U.S. Also, were there no tax records for Peter since he had been married to Lois?
Factual error: As soon as Lois and Peter board the ship it starts moving. This does not happen in reality.
Chosen answer: It's a real song called "Elvira". Originally by Dallas Fraizer in '66, however, this version seems to be the Oak Ridge Boys cover version. However, the mega lesbians skip the verse and just sing the chorus after the opening line.