The above is the passive equivalent of XはYのNをVます. N is a part of Y's body or Y's belongings. It is not N, but Y(i.e., the person who owns N) that is presented as the subject of the sentence. In many cases, Y suffers from the damage caused by X.
弟は兄に顔を なぐられました。
My younger brother was hit in the face by my older brother.
←兄は弟の顔を なぐりました。
My older brother hit my younger brother in the face.
母はどろぼうに財布を ぬすまれました。
My mother had her wallet stolen by a thief.