Famous European members of the order have included St. Simon Stock, who began the "calced" offshoot (those that wore shoes - that is, the traveling mendicants) and reformist discalced ("shoeless") version, whose members included St. Theresa of Avila and St. Juan de la Cruz.  
According to their original orders, set forth in the middle of the 12th century by Albert of Vercelli, they lived in caves and did not see outsiders, have sex, or even talk with their fellow monastics!  Founded by the hermit St. Berthold, it became a mendicant order of friars after reaching Europe.  Famous European members of the order have included St. Simon Stock, who began the "calced" offshoot (those that wore shoes - that is, the traveling mendicants) and reformist discalced ("shoeless") version, whose members included St. Theresa of Avila and St. Juan de la Cruz.  FTP, what group is named for the mountain in Jerusalem where they began?
According to their original orders, set forth in the middle of the 12th century by Albert of Vercelli, they lived in caves and did not see outsiders, have sex, or even talk with their fellow monastics!  
Carmelites (full: Order of Our Lady of Mt. Carmel)