Latin Meaning: The name Angela is a Latin baby name. In Latin the meaning of the name Angela is: Angel; Messenger. Greek Meaning: The name Angela is a Greek baby name. In Greek the meaning of the name Angela is: meaning messenger or angel.he name Angela is a French baby name. In French the meaning of the name Angela is: Angel. Spanish Meaning: The name Angela is a Spanish baby name. In Spanish the meaning of the name Angela is: Angel.