Drewsila \d-rewsi-la, dre(w)-sila\ as a girl's name is a variant of Drusilla (Latin). See for meaning of Drewsila.
The baby name Drewsila sounds like Druesilla, Drusella, Druscilla, Drucilla and Drucella. Other similar baby names are Hersila, Ersila and Prisila.