According to this link http://www.misapellidos.com/ver_datos.phtml?cod=34733 Campos is a Castillian last name from Tierra de Campos (the land of fields (?), a place in the Spanish provinces of Leon, Valladolid and Valencia. Apparently, it was initially used by the nobility native to the region. Otherwise, as Jordan said, campo is the Spanish word for a field, or more loosely, the rural province.
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