The 1796 Irish flax growers list shows the following Jordans in Mayo. Perhaps one is William's father.
Jordan Anthony Kilconduff Mayo
Jordan Edmond Knock Mayo
Jordan Edmund Addergoole Mayo
Jordan Henry Templemurry Mayo
Jordan John Killedan Mayo
Jordan John Meelick Mayo
Jordan Martin Killasser Mayo
Jordan Patrick Kilbelfad Mayo
Jordan Thomas Addergoole Mayo
Jordan Thomas Annagh Mayo
Jordan Thomas Knock Mayo
Jordan William Caslemore Mayo
Jordan William Kilconduff Mayo