Me and Mrs. Jones is definitely a song liked by some women who share the same last name. Me and Mrs. Jones was sung by an R&B singer by the name of Billy Paul. This song was released in 1972. You can find more information here: http://www.songfacts.com/detail.php?id=5665
There are a few artist's that have sang the song "Me and Mrs. Jones", but Billy Paul would be the original in 1972. Hall and Oates and Michael Buble are more recent artist's who have covered this song.