Sentence Correction

The bowerbirds of Australia derive their name from the fact that the males build elaborate bowers of sticks and twigs to attract females, decorating them with flowers and other vegetation in a display of courtship.
a) the fact that the males build elaborate bowers of sticks and twigs to attract females, decorating them with flowers and other vegetation
b) the elaborate bowers of sticks and twigs that the males build and decorate with flowers and other vegetation in order to attract females
c) the elaborate bowers of sticks and twigs, decorated with flowers and other vegetation that the males use to attract females
d) the fact that the males build elaborate bowers of sticks and twigs, having decorated them with flowers and other vegetation, to attract females
e) the elaborate bowers of sticks and twigs that are built by the males and decorated with flowers and other vegetation to attract females

Source MGMAT Test



OA is B ...



Query ..

Dont you think "THAT" is referring to TWIGS and NOT to BOWERS ??

Is this also an example of "X of Y that " ?? ( Just as we have for "X of Y, which) ??