戸籍謄本の英訳は、Birth Certificateとして提出できますよ。
カナダ大使館のサイトに書いてあります。
Question: I am required to provide a marriage certificate and a birth certificate, however I only have a family register, what should I do?
Answer: The Family Register in Japan will replace your birth certificate and your marriage certificate.
http://www.canadanet.or.jp/i_v/im/fcqa_e.shtml