Based on the extended BRST formalism of Batalin, Fradkin and Vilkovisk
y, we perform a general algebraic analysis of the BRST anomalies in su
perstring theory of Neveu-Schwarz-Ramond. Consistency conditions on th
e BRST anomalies are completely solved. The genuine super-Virasoro ano
maly is identified with the essentially unique solution to the consist
ency condition without any reference to a particular gauge for the 2D
supergravity fields. In a configuration space where metric and graviti
no fields are properly constructed, the general form of the super-Weyl
anomaly is obtained from the super-Virasoro anomaly as its descendant
. We give a novel local action of super-Liouville type, which plays a
role of Wess-Zumino-Witten term shifting the super-Virasoro anomaly in
to the super-Weyl anomaly. These results reveal a hierarchical relatio
nship in the BRST anomalies.