Saskia \s(a)-skia, sas-kia\ as a girl's name is of Danish and Old German origin, and the meaning of Saskia is "the Saxon people". From "sachs". Also possibly "valley of light". Name of the wife of the 17th century Dutch painter Rembrandt. Use of her name in the Netherlands can be traced to her; however, the derivation of Saskia from the name of the Saxon people is uncertain. The name could also possibly be of Slavic origin, and related to Sasha, a short form of Alexandra. Actress Saskia Reeves.