The name Eliza is of English origin and means "God Is My Oath." The origin is the culture in which the name originated, or in the case of a word--the language in which it most appears.
Eliza is a shortened form of the name Elizabeth. Made famous by the fictional character Eliza Doolittle, originally from the play "Pygmalion" later turned into the musical "My Fair Lady." Eliza Dushku, actress. Eliza McCardle Johnson, U.S. first lady to Andrew Johnson.