Male first name (English, Irish): Reagan, a descendant of Raigan, Old Irish (family name as first name), ri = the king of an Irish family name 'Ó Raigain', meaning 'descendant of Raigan', the name 'Raigan' means 'little king' Female first name (English): Reagan;, known as the name of a role in the play 'King Lear' by Shakespeare; unknown origin, it is thought that Shakespeare name of Celtic origin has any recourse to