This name was after a pun for a relationship between the words of 'age' and 'maki' and the word of agemaki (name of Oiran (prostitute) appearing in "Sukeroku" of Kabuki (traditional drama performed by male actors).
これは「揚げ」と「巻き」で揚巻（歌舞伎『助六』に登場する花魁の名）という洒落による名称である。