I've looked at Yamato's work now in the original and the English translation (look for "Flowers" (hana) and "Stars" (hoshi)). The edition amazon has here is a reprint of the English translation from 2006. To my knowledge, they have only translated into English 2 books (a mere slice) of Yamato's seven volumes of _Asaki yume mishi_.
In it you'll find Parts 7 & 8 of Volume 1 of her seven-volume manga; and, parts 9 through 12 of volume two. Roughly speaking, "Heart-to-Heart" (aoi) and "The Green Branch" (sasaki) from the original Genji. This bilingual edition is hard to find on amazon.com, but can more readily found on amazon.co.jp. Good luck! It's worth searching for!