Moore's cover of "I Feel the Earth Move" later appeared on the compilation album Love Rocks from LBGT rights supporters.

The first single, "Have a Little Faith in Me", was written and originally recorded by John Hiatt from his eighth album Bring the Family (1987).

"Mona Lisas and Mad Hatters" was originally recorded by Elton John for his fifth album Honky Château (1972).

The song is based on an ex-boyfriend of lead singer Debbie Harry who stalked her after their break-up.

[9] "Help Me" was written, produced and originally recorded by Joni Mitchell for her sixth album Court and Spark (1974).

Stephen Thomas Erlewine of AllMusic remarked, "With this record, she leaves dance-pop behind and heads toward mature pop ... positioning herself as a pop/rock singer by covering classic singer/songwriters ... [W]hile Coverage isn't always successful, it is always admirable and likeable, and certainly puts Moore on the right path for an interesting, successful career.

[18] According to Nielsen SoundScan, Coverage had sold 315,000 copies in the United States, it was Moore's fourth highest selling album in the US.